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Finding the Fourth Proportional to 690.72, 952.72 and 469.59

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Solution

The fourth proportional to 690.72, 952.72 and 469.59 is: 647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.72 : 952.72 = 469.59 : x
  2. Step 2: Convert to fraction form
    690.72/952.72 = 469.59/x
  3. Step 3: Cross multiply
    690.72x = 952.72 × 469.59
  4. Step 4: Simplify right side
    690.72x = 447,387.78
  5. Step 5: Solve for x
    x = 447,387.78/690.72
  6. Step 6: Final answer
    x = 647.71

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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.