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Finding the Fourth Proportional to 702.16, 968.10 and 515.56

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Solution

The fourth proportional to 702.16, 968.10 and 515.56 is: 710.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.16 : 968.10 = 515.56 : x
  2. Step 2: Convert to fraction form
    702.16/968.10 = 515.56/x
  3. Step 3: Cross multiply
    702.16x = 968.10 × 515.56
  4. Step 4: Simplify right side
    702.16x = 499,113.64
  5. Step 5: Solve for x
    x = 499,113.64/702.16
  6. Step 6: Final answer
    x = 710.83

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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.