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Finding the Fourth Proportional to 669.85, 1,003.22 and 651.40

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Solution

The fourth proportional to 669.85, 1,003.22 and 651.40 is: 975.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.85 : 1,003.22 = 651.40 : x
  2. Step 2: Convert to fraction form
    669.85/1,003.22 = 651.40/x
  3. Step 3: Cross multiply
    669.85x = 1,003.22 × 651.40
  4. Step 4: Simplify right side
    669.85x = 653,489.23
  5. Step 5: Solve for x
    x = 653,489.23/669.85
  6. Step 6: Final answer
    x = 975.58

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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.