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Finding the Fourth Proportional to 925.61, 1,388.64 and 309.32

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Solution

The fourth proportional to 925.61, 1,388.64 and 309.32 is: 464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.61 : 1,388.64 = 309.32 : x
  2. Step 2: Convert to fraction form
    925.61/1,388.64 = 309.32/x
  3. Step 3: Cross multiply
    925.61x = 1,388.64 × 309.32
  4. Step 4: Simplify right side
    925.61x = 429,527.18
  5. Step 5: Solve for x
    x = 429,527.18/925.61
  6. Step 6: Final answer
    x = 464.05

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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.