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Finding the Fourth Proportional to 750.14, 1,125.20 and 384.73

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Solution

The fourth proportional to 750.14, 1,125.20 and 384.73 is: 577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.14 : 1,125.20 = 384.73 : x
  2. Step 2: Convert to fraction form
    750.14/1,125.20 = 384.73/x
  3. Step 3: Cross multiply
    750.14x = 1,125.20 × 384.73
  4. Step 4: Simplify right side
    750.14x = 432,898.20
  5. Step 5: Solve for x
    x = 432,898.20/750.14
  6. Step 6: Final answer
    x = 577.09

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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.