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Finding the Fourth Proportional to 750.14, 1,125.31 and 256.64

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Solution

The fourth proportional to 750.14, 1,125.31 and 256.64 is: 384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.14 : 1,125.31 = 256.64 : x
  2. Step 2: Convert to fraction form
    750.14/1,125.31 = 256.64/x
  3. Step 3: Cross multiply
    750.14x = 1,125.31 × 256.64
  4. Step 4: Simplify right side
    750.14x = 288,799.56
  5. Step 5: Solve for x
    x = 288,799.56/750.14
  6. Step 6: Final answer
    x = 384.99

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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.