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Finding the Fourth Proportional to 581.95, 871.40 and 548.24

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Solution

The fourth proportional to 581.95, 871.40 and 548.24 is: 820.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.95 : 871.40 = 548.24 : x
  2. Step 2: Convert to fraction form
    581.95/871.40 = 548.24/x
  3. Step 3: Cross multiply
    581.95x = 871.40 × 548.24
  4. Step 4: Simplify right side
    581.95x = 477,736.34
  5. Step 5: Solve for x
    x = 477,736.34/581.95
  6. Step 6: Final answer
    x = 820.92

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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.