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Finding the Fourth Proportional to 924.39, 1,386.87 and 275.13

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Solution

The fourth proportional to 924.39, 1,386.87 and 275.13 is: 412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.39 : 1,386.87 = 275.13 : x
  2. Step 2: Convert to fraction form
    924.39/1,386.87 = 275.13/x
  3. Step 3: Cross multiply
    924.39x = 1,386.87 × 275.13
  4. Step 4: Simplify right side
    924.39x = 381,569.54
  5. Step 5: Solve for x
    x = 381,569.54/924.39
  6. Step 6: Final answer
    x = 412.78

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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.