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Finding the Fourth Proportional to 691.74, 954.66 and 470.70

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Solution

The fourth proportional to 691.74, 954.66 and 470.70 is: 649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.74 : 954.66 = 470.70 : x
  2. Step 2: Convert to fraction form
    691.74/954.66 = 470.70/x
  3. Step 3: Cross multiply
    691.74x = 954.66 × 470.70
  4. Step 4: Simplify right side
    691.74x = 449,358.46
  5. Step 5: Solve for x
    x = 449,358.46/691.74
  6. Step 6: Final answer
    x = 649.61

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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.