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Finding the Fourth Proportional to 761.72, 1,051.26 and 702.92

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Solution

The fourth proportional to 761.72, 1,051.26 and 702.92 is: 970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.72 : 1,051.26 = 702.92 : x
  2. Step 2: Convert to fraction form
    761.72/1,051.26 = 702.92/x
  3. Step 3: Cross multiply
    761.72x = 1,051.26 × 702.92
  4. Step 4: Simplify right side
    761.72x = 738,951.68
  5. Step 5: Solve for x
    x = 738,951.68/761.72
  6. Step 6: Final answer
    x = 970.11

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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.