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Finding the Fourth Proportional to 925.72, 1,388.96 and 405.45

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Solution

The fourth proportional to 925.72, 1,388.96 and 405.45 is: 608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.72 : 1,388.96 = 405.45 : x
  2. Step 2: Convert to fraction form
    925.72/1,388.96 = 405.45/x
  3. Step 3: Cross multiply
    925.72x = 1,388.96 × 405.45
  4. Step 4: Simplify right side
    925.72x = 563,154.09
  5. Step 5: Solve for x
    x = 563,154.09/925.72
  6. Step 6: Final answer
    x = 608.34

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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.