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Finding the Fourth Proportional to 759.07, 1,044.90 and 572.27

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Solution

The fourth proportional to 759.07, 1,044.90 and 572.27 is: 787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.07 : 1,044.90 = 572.27 : x
  2. Step 2: Convert to fraction form
    759.07/1,044.90 = 572.27/x
  3. Step 3: Cross multiply
    759.07x = 1,044.90 × 572.27
  4. Step 4: Simplify right side
    759.07x = 597,959.70
  5. Step 5: Solve for x
    x = 597,959.70/759.07
  6. Step 6: Final answer
    x = 787.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.