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Finding the Fourth Proportional to 670.38, 1,003.76 and 438.69

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Solution

The fourth proportional to 670.38, 1,003.76 and 438.69 is: 656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.38 : 1,003.76 = 438.69 : x
  2. Step 2: Convert to fraction form
    670.38/1,003.76 = 438.69/x
  3. Step 3: Cross multiply
    670.38x = 1,003.76 × 438.69
  4. Step 4: Simplify right side
    670.38x = 440,337.28
  5. Step 5: Solve for x
    x = 440,337.28/670.38
  6. Step 6: Final answer
    x = 656.85

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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.