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Finding the Fourth Proportional to 691.66, 953.87 and 470.90

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Solution

The fourth proportional to 691.66, 953.87 and 470.90 is: 649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.66 : 953.87 = 470.90 : x
  2. Step 2: Convert to fraction form
    691.66/953.87 = 470.90/x
  3. Step 3: Cross multiply
    691.66x = 953.87 × 470.90
  4. Step 4: Simplify right side
    691.66x = 449,177.38
  5. Step 5: Solve for x
    x = 449,177.38/691.66
  6. Step 6: Final answer
    x = 649.42

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1.5x scale

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.