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Finding the Fourth Proportional to 670.22, 1,003.88 and 498.86

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Solution

The fourth proportional to 670.22, 1,003.88 and 498.86 is: 747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.22 : 1,003.88 = 498.86 : x
  2. Step 2: Convert to fraction form
    670.22/1,003.88 = 498.86/x
  3. Step 3: Cross multiply
    670.22x = 1,003.88 × 498.86
  4. Step 4: Simplify right side
    670.22x = 500,795.58
  5. Step 5: Solve for x
    x = 500,795.58/670.22
  6. Step 6: Final answer
    x = 747.21

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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.