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Finding the Fourth Proportional to 702.52, 977.22 and 689.15

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Solution

The fourth proportional to 702.52, 977.22 and 689.15 is: 958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.52 : 977.22 = 689.15 : x
  2. Step 2: Convert to fraction form
    702.52/977.22 = 689.15/x
  3. Step 3: Cross multiply
    702.52x = 977.22 × 689.15
  4. Step 4: Simplify right side
    702.52x = 673,453.61
  5. Step 5: Solve for x
    x = 673,453.61/702.52
  6. Step 6: Final answer
    x = 958.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.