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Finding the Fourth Proportional to 762.18, 1,044.86 and 750.78

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Solution

The fourth proportional to 762.18, 1,044.86 and 750.78 is: 1,029.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.18 : 1,044.86 = 750.78 : x
  2. Step 2: Convert to fraction form
    762.18/1,044.86 = 750.78/x
  3. Step 3: Cross multiply
    762.18x = 1,044.86 × 750.78
  4. Step 4: Simplify right side
    762.18x = 784,456.24
  5. Step 5: Solve for x
    x = 784,456.24/762.18
  6. Step 6: Final answer
    x = 1,029.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.