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Finding the Fourth Proportional to 924.59, 1,387.02 and 559.55

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Solution

The fourth proportional to 924.59, 1,387.02 and 559.55 is: 839.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.59 : 1,387.02 = 559.55 : x
  2. Step 2: Convert to fraction form
    924.59/1,387.02 = 559.55/x
  3. Step 3: Cross multiply
    924.59x = 1,387.02 × 559.55
  4. Step 4: Simplify right side
    924.59x = 776,107.04
  5. Step 5: Solve for x
    x = 776,107.04/924.59
  6. Step 6: Final answer
    x = 839.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.