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Finding the Fourth Proportional to 734.30, 1,008.92 and 702.10

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Solution

The fourth proportional to 734.30, 1,008.92 and 702.10 is: 964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.30 : 1,008.92 = 702.10 : x
  2. Step 2: Convert to fraction form
    734.30/1,008.92 = 702.10/x
  3. Step 3: Cross multiply
    734.30x = 1,008.92 × 702.10
  4. Step 4: Simplify right side
    734.30x = 708,365.75
  5. Step 5: Solve for x
    x = 708,365.75/734.30
  6. Step 6: Final answer
    x = 964.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.