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Finding the Fourth Proportional to 537.15, 740.52 and 387.84

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Solution

The fourth proportional to 537.15, 740.52 and 387.84 is: 534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.15 : 740.52 = 387.84 : x
  2. Step 2: Convert to fraction form
    537.15/740.52 = 387.84/x
  3. Step 3: Cross multiply
    537.15x = 740.52 × 387.84
  4. Step 4: Simplify right side
    537.15x = 287,203.28
  5. Step 5: Solve for x
    x = 287,203.28/537.15
  6. Step 6: Final answer
    x = 534.68

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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.