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Finding the Fourth Proportional to 581.78, 871.97 and 307.19

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Solution

The fourth proportional to 581.78, 871.97 and 307.19 is: 460.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.78 : 871.97 = 307.19 : x
  2. Step 2: Convert to fraction form
    581.78/871.97 = 307.19/x
  3. Step 3: Cross multiply
    581.78x = 871.97 × 307.19
  4. Step 4: Simplify right side
    581.78x = 267,861.11
  5. Step 5: Solve for x
    x = 267,861.11/581.78
  6. Step 6: Final answer
    x = 460.41

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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.