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Finding the Fourth Proportional to 581.59, 871.36 and 307.08

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Solution

The fourth proportional to 581.59, 871.36 and 307.08 is: 460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.59 : 871.36 = 307.08 : x
  2. Step 2: Convert to fraction form
    581.59/871.36 = 307.08/x
  3. Step 3: Cross multiply
    581.59x = 871.36 × 307.08
  4. Step 4: Simplify right side
    581.59x = 267,571.34
  5. Step 5: Solve for x
    x = 267,571.34/581.59
  6. Step 6: Final answer
    x = 460.07

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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.