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Finding the Fourth Proportional to 534.32, 737.14 and 394.77

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Solution

The fourth proportional to 534.32, 737.14 and 394.77 is: 544.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.32 : 737.14 = 394.77 : x
  2. Step 2: Convert to fraction form
    534.32/737.14 = 394.77/x
  3. Step 3: Cross multiply
    534.32x = 737.14 × 394.77
  4. Step 4: Simplify right side
    534.32x = 291,000.76
  5. Step 5: Solve for x
    x = 291,000.76/534.32
  6. Step 6: Final answer
    x = 544.62

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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.