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Finding the Fourth Proportional to 924.72, 1,386.39 and 559.42

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Solution

The fourth proportional to 924.72, 1,386.39 and 559.42 is: 838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.72 : 1,386.39 = 559.42 : x
  2. Step 2: Convert to fraction form
    924.72/1,386.39 = 559.42/x
  3. Step 3: Cross multiply
    924.72x = 1,386.39 × 559.42
  4. Step 4: Simplify right side
    924.72x = 775,569.78
  5. Step 5: Solve for x
    x = 775,569.78/924.72
  6. Step 6: Final answer
    x = 838.71

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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.