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Finding the Fourth Proportional to 702.03, 968.24 and 515.31

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Solution

The fourth proportional to 702.03, 968.24 and 515.31 is: 710.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.03 : 968.24 = 515.31 : x
  2. Step 2: Convert to fraction form
    702.03/968.24 = 515.31/x
  3. Step 3: Cross multiply
    702.03x = 968.24 × 515.31
  4. Step 4: Simplify right side
    702.03x = 498,941.18
  5. Step 5: Solve for x
    x = 498,941.18/702.03
  6. Step 6: Final answer
    x = 710.71

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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.