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Finding the Fourth Proportional to 750.52, 1,127.91 and 442.42

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Solution

The fourth proportional to 750.52, 1,127.91 and 442.42 is: 664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.52 : 1,127.91 = 442.42 : x
  2. Step 2: Convert to fraction form
    750.52/1,127.91 = 442.42/x
  3. Step 3: Cross multiply
    750.52x = 1,127.91 × 442.42
  4. Step 4: Simplify right side
    750.52x = 499,009.94
  5. Step 5: Solve for x
    x = 499,009.94/750.52
  6. Step 6: Final answer
    x = 664.89

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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.