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Finding the Fourth Proportional to 581.13, 871.82 and 307.15

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Solution

The fourth proportional to 581.13, 871.82 and 307.15 is: 460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.13 : 871.82 = 307.15 : x
  2. Step 2: Convert to fraction form
    581.13/871.82 = 307.15/x
  3. Step 3: Cross multiply
    581.13x = 871.82 × 307.15
  4. Step 4: Simplify right side
    581.13x = 267,783.30
  5. Step 5: Solve for x
    x = 267,783.30/581.13
  6. Step 6: Final answer
    x = 460.80

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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.