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Finding the Fourth Proportional to 702.83, 972.32 and 615.75

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Solution

The fourth proportional to 702.83, 972.32 and 615.75 is: 851.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.83 : 972.32 = 615.75 : x
  2. Step 2: Convert to fraction form
    702.83/972.32 = 615.75/x
  3. Step 3: Cross multiply
    702.83x = 972.32 × 615.75
  4. Step 4: Simplify right side
    702.83x = 598,702.96
  5. Step 5: Solve for x
    x = 598,702.96/702.83
  6. Step 6: Final answer
    x = 851.85

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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.