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Finding the Fourth Proportional to 671.86, 1,005.81 and 655.30

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Solution

The fourth proportional to 671.86, 1,005.81 and 655.30 is: 981.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.86 : 1,005.81 = 655.30 : x
  2. Step 2: Convert to fraction form
    671.86/1,005.81 = 655.30/x
  3. Step 3: Cross multiply
    671.86x = 1,005.81 × 655.30
  4. Step 4: Simplify right side
    671.86x = 659,107.29
  5. Step 5: Solve for x
    x = 659,107.29/671.86
  6. Step 6: Final answer
    x = 981.02

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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.