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Finding the Fourth Proportional to 925.78, 1,388.21 and 309.27

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Solution

The fourth proportional to 925.78, 1,388.21 and 309.27 is: 463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.78 : 1,388.21 = 309.27 : x
  2. Step 2: Convert to fraction form
    925.78/1,388.21 = 309.27/x
  3. Step 3: Cross multiply
    925.78x = 1,388.21 × 309.27
  4. Step 4: Simplify right side
    925.78x = 429,331.71
  5. Step 5: Solve for x
    x = 429,331.71/925.78
  6. Step 6: Final answer
    x = 463.75

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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.