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Finding the Fourth Proportional to 801.91, 1,106.68 and 470.43

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Solution

The fourth proportional to 801.91, 1,106.68 and 470.43 is: 649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.91 : 1,106.68 = 470.43 : x
  2. Step 2: Convert to fraction form
    801.91/1,106.68 = 470.43/x
  3. Step 3: Cross multiply
    801.91x = 1,106.68 × 470.43
  4. Step 4: Simplify right side
    801.91x = 520,614.30
  5. Step 5: Solve for x
    x = 520,614.30/801.91
  6. Step 6: Final answer
    x = 649.22

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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.