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Finding the Fourth Proportional to 671.32, 1,008.40 and 411.45

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Solution

The fourth proportional to 671.32, 1,008.40 and 411.45 is: 618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.32 : 1,008.40 = 411.45 : x
  2. Step 2: Convert to fraction form
    671.32/1,008.40 = 411.45/x
  3. Step 3: Cross multiply
    671.32x = 1,008.40 × 411.45
  4. Step 4: Simplify right side
    671.32x = 414,906.18
  5. Step 5: Solve for x
    x = 414,906.18/671.32
  6. Step 6: Final answer
    x = 618.05

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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.