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Finding the Fourth Proportional to 756.12, 1,042.18 and 534.78

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Solution

The fourth proportional to 756.12, 1,042.18 and 534.78 is: 737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.12 : 1,042.18 = 534.78 : x
  2. Step 2: Convert to fraction form
    756.12/1,042.18 = 534.78/x
  3. Step 3: Cross multiply
    756.12x = 1,042.18 × 534.78
  4. Step 4: Simplify right side
    756.12x = 557,337.02
  5. Step 5: Solve for x
    x = 557,337.02/756.12
  6. Step 6: Final answer
    x = 737.10

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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.