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Finding the Fourth Proportional to 836.76, 1,153.98 and 705.54

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Solution

The fourth proportional to 836.76, 1,153.98 and 705.54 is: 973.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.76 : 1,153.98 = 705.54 : x
  2. Step 2: Convert to fraction form
    836.76/1,153.98 = 705.54/x
  3. Step 3: Cross multiply
    836.76x = 1,153.98 × 705.54
  4. Step 4: Simplify right side
    836.76x = 814,179.05
  5. Step 5: Solve for x
    x = 814,179.05/836.76
  6. Step 6: Final answer
    x = 973.01

Related Problems

Find fourth proportional to 418.38, 576.99 and 352.77
Half scale
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Double scale
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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.