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Finding the Fourth Proportional to 1,520.76, 2,098.64 and 822.12

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Solution

The fourth proportional to 1,520.76, 2,098.64 and 822.12 is: 1,134.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.76 : 2,098.64 = 822.12 : x
  2. Step 2: Convert to fraction form
    1,520.76/2,098.64 = 822.12/x
  3. Step 3: Cross multiply
    1,520.76x = 2,098.64 × 822.12
  4. Step 4: Simplify right side
    1,520.76x = 1,725,333.92
  5. Step 5: Solve for x
    x = 1,725,333.92/1,520.76
  6. Step 6: Final answer
    x = 1,134.52

Related Problems

Find fourth proportional to 760.38, 1,049.32 and 411.06
Half scale
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Double scale
Find fourth proportional to 1,521.76, 2,100.02 and 823.12
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.