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Finding the Fourth Proportional to 534.75, 737.75 and 313.62

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Solution

The fourth proportional to 534.75, 737.75 and 313.62 is: 432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.75 : 737.75 = 313.62 : x
  2. Step 2: Convert to fraction form
    534.75/737.75 = 313.62/x
  3. Step 3: Cross multiply
    534.75x = 737.75 × 313.62
  4. Step 4: Simplify right side
    534.75x = 231,373.94
  5. Step 5: Solve for x
    x = 231,373.94/534.75
  6. Step 6: Final answer
    x = 432.68

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Find fourth proportional to 267.38, 368.88 and 156.81
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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.