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Finding the Fourth Proportional to 581.27, 868.05 and 549.68

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Solution

The fourth proportional to 581.27, 868.05 and 549.68 is: 820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.27 : 868.05 = 549.68 : x
  2. Step 2: Convert to fraction form
    581.27/868.05 = 549.68/x
  3. Step 3: Cross multiply
    581.27x = 868.05 × 549.68
  4. Step 4: Simplify right side
    581.27x = 477,145.38
  5. Step 5: Solve for x
    x = 477,145.38/581.27
  6. Step 6: Final answer
    x = 820.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.