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Finding the Fourth Proportional to 757.53, 1,045.22 and 509.31

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Solution

The fourth proportional to 757.53, 1,045.22 and 509.31 is: 702.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.53 : 1,045.22 = 509.31 : x
  2. Step 2: Convert to fraction form
    757.53/1,045.22 = 509.31/x
  3. Step 3: Cross multiply
    757.53x = 1,045.22 × 509.31
  4. Step 4: Simplify right side
    757.53x = 532,338.45
  5. Step 5: Solve for x
    x = 532,338.45/757.53
  6. Step 6: Final answer
    x = 702.73

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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.