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Finding the Fourth Proportional to 538.54, 742.32 and 440.12

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Solution

The fourth proportional to 538.54, 742.32 and 440.12 is: 606.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.54 : 742.32 = 440.12 : x
  2. Step 2: Convert to fraction form
    538.54/742.32 = 440.12/x
  3. Step 3: Cross multiply
    538.54x = 742.32 × 440.12
  4. Step 4: Simplify right side
    538.54x = 326,711.73
  5. Step 5: Solve for x
    x = 326,711.73/538.54
  6. Step 6: Final answer
    x = 606.66

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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.