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Finding the Fourth Proportional to 669.38, 1,003.16 and 649.68

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Solution

The fourth proportional to 669.38, 1,003.16 and 649.68 is: 973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.38 : 1,003.16 = 649.68 : x
  2. Step 2: Convert to fraction form
    669.38/1,003.16 = 649.68/x
  3. Step 3: Cross multiply
    669.38x = 1,003.16 × 649.68
  4. Step 4: Simplify right side
    669.38x = 651,732.99
  5. Step 5: Solve for x
    x = 651,732.99/669.38
  6. Step 6: Final answer
    x = 973.64

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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.