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Finding the Fourth Proportional to 702.53, 968.93 and 515.81

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Solution

The fourth proportional to 702.53, 968.93 and 515.81 is: 711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.53 : 968.93 = 515.81 : x
  2. Step 2: Convert to fraction form
    702.53/968.93 = 515.81/x
  3. Step 3: Cross multiply
    702.53x = 968.93 × 515.81
  4. Step 4: Simplify right side
    702.53x = 499,781.20
  5. Step 5: Solve for x
    x = 499,781.20/702.53
  6. Step 6: Final answer
    x = 711.40

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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.