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Finding the Fourth Proportional to 669.13, 1,001.87 and 450.10

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Solution

The fourth proportional to 669.13, 1,001.87 and 450.10 is: 673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.13 : 1,001.87 = 450.10 : x
  2. Step 2: Convert to fraction form
    669.13/1,001.87 = 450.10/x
  3. Step 3: Cross multiply
    669.13x = 1,001.87 × 450.10
  4. Step 4: Simplify right side
    669.13x = 450,942.38
  5. Step 5: Solve for x
    x = 450,942.38/669.13
  6. Step 6: Final answer
    x = 673.93

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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.