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Finding the Fourth Proportional to 871.08, 1,305.66 and 431.66

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Solution

The fourth proportional to 871.08, 1,305.66 and 431.66 is: 647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.08 : 1,305.66 = 431.66 : x
  2. Step 2: Convert to fraction form
    871.08/1,305.66 = 431.66/x
  3. Step 3: Cross multiply
    871.08x = 1,305.66 × 431.66
  4. Step 4: Simplify right side
    871.08x = 563,601.20
  5. Step 5: Solve for x
    x = 563,601.20/871.08
  6. Step 6: Final answer
    x = 647.01

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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.