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Finding the Fourth Proportional to 702.89, 969.46 and 516.32

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Solution

The fourth proportional to 702.89, 969.46 and 516.32 is: 712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.89 : 969.46 = 516.32 : x
  2. Step 2: Convert to fraction form
    702.89/969.46 = 516.32/x
  3. Step 3: Cross multiply
    702.89x = 969.46 × 516.32
  4. Step 4: Simplify right side
    702.89x = 500,551.59
  5. Step 5: Solve for x
    x = 500,551.59/702.89
  6. Step 6: Final answer
    x = 712.13

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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.