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Finding the Fourth Proportional to 581.41, 873.84 and 387.06

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Solution

The fourth proportional to 581.41, 873.84 and 387.06 is: 581.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.41 : 873.84 = 387.06 : x
  2. Step 2: Convert to fraction form
    581.41/873.84 = 387.06/x
  3. Step 3: Cross multiply
    581.41x = 873.84 × 387.06
  4. Step 4: Simplify right side
    581.41x = 338,229.42
  5. Step 5: Solve for x
    x = 338,229.42/581.41
  6. Step 6: Final answer
    x = 581.74

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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.