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Finding the Fourth Proportional to 667.55, 1,004.63 and 503.85

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Solution

The fourth proportional to 667.55, 1,004.63 and 503.85 is: 758.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.55 : 1,004.63 = 503.85 : x
  2. Step 2: Convert to fraction form
    667.55/1,004.63 = 503.85/x
  3. Step 3: Cross multiply
    667.55x = 1,004.63 × 503.85
  4. Step 4: Simplify right side
    667.55x = 506,180.31
  5. Step 5: Solve for x
    x = 506,180.31/667.55
  6. Step 6: Final answer
    x = 758.27

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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.