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Finding the Fourth Proportional to 762.69, 1,049.37 and 596.61

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Solution

The fourth proportional to 762.69, 1,049.37 and 596.61 is: 820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.69 : 1,049.37 = 596.61 : x
  2. Step 2: Convert to fraction form
    762.69/1,049.37 = 596.61/x
  3. Step 3: Cross multiply
    762.69x = 1,049.37 × 596.61
  4. Step 4: Simplify right side
    762.69x = 626,064.64
  5. Step 5: Solve for x
    x = 626,064.64/762.69
  6. Step 6: Final answer
    x = 820.86

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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.