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Finding the Fourth Proportional to 500.34, 689.85 and 438.78

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Solution

The fourth proportional to 500.34, 689.85 and 438.78 is: 604.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.34 : 689.85 = 438.78 : x
  2. Step 2: Convert to fraction form
    500.34/689.85 = 438.78/x
  3. Step 3: Cross multiply
    500.34x = 689.85 × 438.78
  4. Step 4: Simplify right side
    500.34x = 302,692.38
  5. Step 5: Solve for x
    x = 302,692.38/500.34
  6. Step 6: Final answer
    x = 604.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.