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Finding the Fourth Proportional to 702.62, 968.85 and 492.72

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Solution

The fourth proportional to 702.62, 968.85 and 492.72 is: 679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.62 : 968.85 = 492.72 : x
  2. Step 2: Convert to fraction form
    702.62/968.85 = 492.72/x
  3. Step 3: Cross multiply
    702.62x = 968.85 × 492.72
  4. Step 4: Simplify right side
    702.62x = 477,371.77
  5. Step 5: Solve for x
    x = 477,371.77/702.62
  6. Step 6: Final answer
    x = 679.42

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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.