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Finding the Fourth Proportional to 581.32, 871.26 and 307.48

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Solution

The fourth proportional to 581.32, 871.26 and 307.48 is: 460.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.32 : 871.26 = 307.48 : x
  2. Step 2: Convert to fraction form
    581.32/871.26 = 307.48/x
  3. Step 3: Cross multiply
    581.32x = 871.26 × 307.48
  4. Step 4: Simplify right side
    581.32x = 267,895.02
  5. Step 5: Solve for x
    x = 267,895.02/581.32
  6. Step 6: Final answer
    x = 460.84

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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.