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Finding the Fourth Proportional to 691.67, 953.07 and 470.24

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Solution

The fourth proportional to 691.67, 953.07 and 470.24 is: 647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.67 : 953.07 = 470.24 : x
  2. Step 2: Convert to fraction form
    691.67/953.07 = 470.24/x
  3. Step 3: Cross multiply
    691.67x = 953.07 × 470.24
  4. Step 4: Simplify right side
    691.67x = 448,168.68
  5. Step 5: Solve for x
    x = 448,168.68/691.67
  6. Step 6: Final answer
    x = 647.95

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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.