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Finding the Fourth Proportional to 1,520.84, 2,098.77 and 822.22

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Solution

The fourth proportional to 1,520.84, 2,098.77 and 822.22 is: 1,134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.84 : 2,098.77 = 822.22 : x
  2. Step 2: Convert to fraction form
    1,520.84/2,098.77 = 822.22/x
  3. Step 3: Cross multiply
    1,520.84x = 2,098.77 × 822.22
  4. Step 4: Simplify right side
    1,520.84x = 1,725,658.03
  5. Step 5: Solve for x
    x = 1,725,658.03/1,520.84
  6. Step 6: Final answer
    x = 1,134.67

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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.