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Finding the Fourth Proportional to 873.82, 1,309.10 and 669.70

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Solution

The fourth proportional to 873.82, 1,309.10 and 669.70 is: 1,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.82 : 1,309.10 = 669.70 : x
  2. Step 2: Convert to fraction form
    873.82/1,309.10 = 669.70/x
  3. Step 3: Cross multiply
    873.82x = 1,309.10 × 669.70
  4. Step 4: Simplify right side
    873.82x = 876,697.72
  5. Step 5: Solve for x
    x = 876,697.72/873.82
  6. Step 6: Final answer
    x = 1,003.30

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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.