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Finding the Fourth Proportional to 702.90, 1,050.29 and 506.97

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Solution

The fourth proportional to 702.90, 1,050.29 and 506.97 is: 757.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.90 : 1,050.29 = 506.97 : x
  2. Step 2: Convert to fraction form
    702.90/1,050.29 = 506.97/x
  3. Step 3: Cross multiply
    702.90x = 1,050.29 × 506.97
  4. Step 4: Simplify right side
    702.90x = 532,462.99
  5. Step 5: Solve for x
    x = 532,462.99/702.90
  6. Step 6: Final answer
    x = 757.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.