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Finding the Fourth Proportional to 925.79, 1,388.36 and 309.33

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Solution

The fourth proportional to 925.79, 1,388.36 and 309.33 is: 463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.79 : 1,388.36 = 309.33 : x
  2. Step 2: Convert to fraction form
    925.79/1,388.36 = 309.33/x
  3. Step 3: Cross multiply
    925.79x = 1,388.36 × 309.33
  4. Step 4: Simplify right side
    925.79x = 429,459.85
  5. Step 5: Solve for x
    x = 429,459.85/925.79
  6. Step 6: Final answer
    x = 463.88

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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.