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Finding the Fourth Proportional to 757.76, 1,044.33 and 521.72

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Solution

The fourth proportional to 757.76, 1,044.33 and 521.72 is: 719.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.76 : 1,044.33 = 521.72 : x
  2. Step 2: Convert to fraction form
    757.76/1,044.33 = 521.72/x
  3. Step 3: Cross multiply
    757.76x = 1,044.33 × 521.72
  4. Step 4: Simplify right side
    757.76x = 544,847.85
  5. Step 5: Solve for x
    x = 544,847.85/757.76
  6. Step 6: Final answer
    x = 719.02

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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.