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Finding the Fourth Proportional to 702.32, 970.68 and 616.96

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Solution

The fourth proportional to 702.32, 970.68 and 616.96 is: 852.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.32 : 970.68 = 616.96 : x
  2. Step 2: Convert to fraction form
    702.32/970.68 = 616.96/x
  3. Step 3: Cross multiply
    702.32x = 970.68 × 616.96
  4. Step 4: Simplify right side
    702.32x = 598,870.73
  5. Step 5: Solve for x
    x = 598,870.73/702.32
  6. Step 6: Final answer
    x = 852.70

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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.