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Finding the Fourth Proportional to 669.76, 926.31 and 576.61

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Solution

The fourth proportional to 669.76, 926.31 and 576.61 is: 797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.76 : 926.31 = 576.61 : x
  2. Step 2: Convert to fraction form
    669.76/926.31 = 576.61/x
  3. Step 3: Cross multiply
    669.76x = 926.31 × 576.61
  4. Step 4: Simplify right side
    669.76x = 534,119.61
  5. Step 5: Solve for x
    x = 534,119.61/669.76
  6. Step 6: Final answer
    x = 797.48

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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.