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Finding the Fourth Proportional to 581.56, 871.24 and 307.24

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Solution

The fourth proportional to 581.56, 871.24 and 307.24 is: 460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.56 : 871.24 = 307.24 : x
  2. Step 2: Convert to fraction form
    581.56/871.24 = 307.24/x
  3. Step 3: Cross multiply
    581.56x = 871.24 × 307.24
  4. Step 4: Simplify right side
    581.56x = 267,679.78
  5. Step 5: Solve for x
    x = 267,679.78/581.56
  6. Step 6: Final answer
    x = 460.28

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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.