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Finding the Fourth Proportional to 801.60, 1,106.83 and 614.79

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Solution

The fourth proportional to 801.60, 1,106.83 and 614.79 is: 848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.60 : 1,106.83 = 614.79 : x
  2. Step 2: Convert to fraction form
    801.60/1,106.83 = 614.79/x
  3. Step 3: Cross multiply
    801.60x = 1,106.83 × 614.79
  4. Step 4: Simplify right side
    801.60x = 680,469.25
  5. Step 5: Solve for x
    x = 680,469.25/801.60
  6. Step 6: Final answer
    x = 848.89

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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.