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Finding the Fourth Proportional to 671.79, 1,008.19 and 498.86

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Solution

The fourth proportional to 671.79, 1,008.19 and 498.86 is: 748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.79 : 1,008.19 = 498.86 : x
  2. Step 2: Convert to fraction form
    671.79/1,008.19 = 498.86/x
  3. Step 3: Cross multiply
    671.79x = 1,008.19 × 498.86
  4. Step 4: Simplify right side
    671.79x = 502,945.66
  5. Step 5: Solve for x
    x = 502,945.66/671.79
  6. Step 6: Final answer
    x = 748.67

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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.