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Finding the Fourth Proportional to 801.61, 1,106.05 and 506.71

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Solution

The fourth proportional to 801.61, 1,106.05 and 506.71 is: 699.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.61 : 1,106.05 = 506.71 : x
  2. Step 2: Convert to fraction form
    801.61/1,106.05 = 506.71/x
  3. Step 3: Cross multiply
    801.61x = 1,106.05 × 506.71
  4. Step 4: Simplify right side
    801.61x = 560,446.60
  5. Step 5: Solve for x
    x = 560,446.60/801.61
  6. Step 6: Final answer
    x = 699.15

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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.