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Finding the Fourth Proportional to 537.36, 740.66 and 387.78

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Solution

The fourth proportional to 537.36, 740.66 and 387.78 is: 534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.36 : 740.66 = 387.78 : x
  2. Step 2: Convert to fraction form
    537.36/740.66 = 387.78/x
  3. Step 3: Cross multiply
    537.36x = 740.66 × 387.78
  4. Step 4: Simplify right side
    537.36x = 287,211.20
  5. Step 5: Solve for x
    x = 287,211.20/537.36
  6. Step 6: Final answer
    x = 534.49

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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.