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Finding the Fourth Proportional to 671.08, 1,005.72 and 439.87

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Solution

The fourth proportional to 671.08, 1,005.72 and 439.87 is: 659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.08 : 1,005.72 = 439.87 : x
  2. Step 2: Convert to fraction form
    671.08/1,005.72 = 439.87/x
  3. Step 3: Cross multiply
    671.08x = 1,005.72 × 439.87
  4. Step 4: Simplify right side
    671.08x = 442,386.06
  5. Step 5: Solve for x
    x = 442,386.06/671.08
  6. Step 6: Final answer
    x = 659.22

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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.