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Finding the Fourth Proportional to 581.80, 872.52 and 398.74

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Solution

The fourth proportional to 581.80, 872.52 and 398.74 is: 597.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.80 : 872.52 = 398.74 : x
  2. Step 2: Convert to fraction form
    581.80/872.52 = 398.74/x
  3. Step 3: Cross multiply
    581.80x = 872.52 × 398.74
  4. Step 4: Simplify right side
    581.80x = 347,908.62
  5. Step 5: Solve for x
    x = 347,908.62/581.80
  6. Step 6: Final answer
    x = 597.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.