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Finding the Fourth Proportional to 674.58, 929.94 and 580.92

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Solution

The fourth proportional to 674.58, 929.94 and 580.92 is: 800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.58 : 929.94 = 580.92 : x
  2. Step 2: Convert to fraction form
    674.58/929.94 = 580.92/x
  3. Step 3: Cross multiply
    674.58x = 929.94 × 580.92
  4. Step 4: Simplify right side
    674.58x = 540,220.74
  5. Step 5: Solve for x
    x = 540,220.74/674.58
  6. Step 6: Final answer
    x = 800.83

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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.