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Finding the Fourth Proportional to 534.76, 737.17 and 424.26

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Solution

The fourth proportional to 534.76, 737.17 and 424.26 is: 584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.76 : 737.17 = 424.26 : x
  2. Step 2: Convert to fraction form
    534.76/737.17 = 424.26/x
  3. Step 3: Cross multiply
    534.76x = 737.17 × 424.26
  4. Step 4: Simplify right side
    534.76x = 312,751.74
  5. Step 5: Solve for x
    x = 312,751.74/534.76
  6. Step 6: Final answer
    x = 584.85

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Find fourth proportional to 267.38, 368.59 and 212.13
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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.