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Finding the Fourth Proportional to 924.55, 1,387.20 and 404.65

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Solution

The fourth proportional to 924.55, 1,387.20 and 404.65 is: 607.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.55 : 1,387.20 = 404.65 : x
  2. Step 2: Convert to fraction form
    924.55/1,387.20 = 404.65/x
  3. Step 3: Cross multiply
    924.55x = 1,387.20 × 404.65
  4. Step 4: Simplify right side
    924.55x = 561,330.48
  5. Step 5: Solve for x
    x = 561,330.48/924.55
  6. Step 6: Final answer
    x = 607.14

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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.