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Finding the Fourth Proportional to 700.29, 1,047.71 and 469.29

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Solution

The fourth proportional to 700.29, 1,047.71 and 469.29 is: 702.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.29 : 1,047.71 = 469.29 : x
  2. Step 2: Convert to fraction form
    700.29/1,047.71 = 469.29/x
  3. Step 3: Cross multiply
    700.29x = 1,047.71 × 469.29
  4. Step 4: Simplify right side
    700.29x = 491,677.48
  5. Step 5: Solve for x
    x = 491,677.48/700.29
  6. Step 6: Final answer
    x = 702.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.