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Finding the Fourth Proportional to 534.12, 740.51 and 506.43

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Solution

The fourth proportional to 534.12, 740.51 and 506.43 is: 702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.12 : 740.51 = 506.43 : x
  2. Step 2: Convert to fraction form
    534.12/740.51 = 506.43/x
  3. Step 3: Cross multiply
    534.12x = 740.51 × 506.43
  4. Step 4: Simplify right side
    534.12x = 375,013.95
  5. Step 5: Solve for x
    x = 375,013.95/534.12
  6. Step 6: Final answer
    x = 702.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.