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Finding the Fourth Proportional to 925.01, 1,387.71 and 405.09

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Solution

The fourth proportional to 925.01, 1,387.71 and 405.09 is: 607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.01 : 1,387.71 = 405.09 : x
  2. Step 2: Convert to fraction form
    925.01/1,387.71 = 405.09/x
  3. Step 3: Cross multiply
    925.01x = 1,387.71 × 405.09
  4. Step 4: Simplify right side
    925.01x = 562,147.44
  5. Step 5: Solve for x
    x = 562,147.44/925.01
  6. Step 6: Final answer
    x = 607.72

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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.