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Finding the Fourth Proportional to 581.28, 872.73 and 337.74

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Solution

The fourth proportional to 581.28, 872.73 and 337.74 is: 507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.28 : 872.73 = 337.74 : x
  2. Step 2: Convert to fraction form
    581.28/872.73 = 337.74/x
  3. Step 3: Cross multiply
    581.28x = 872.73 × 337.74
  4. Step 4: Simplify right side
    581.28x = 294,755.83
  5. Step 5: Solve for x
    x = 294,755.83/581.28
  6. Step 6: Final answer
    x = 507.08

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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.