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Finding the Fourth Proportional to 890.96, 1,229.50 and 498.02

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Solution

The fourth proportional to 890.96, 1,229.50 and 498.02 is: 687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.96 : 1,229.50 = 498.02 : x
  2. Step 2: Convert to fraction form
    890.96/1,229.50 = 498.02/x
  3. Step 3: Cross multiply
    890.96x = 1,229.50 × 498.02
  4. Step 4: Simplify right side
    890.96x = 612,308.20
  5. Step 5: Solve for x
    x = 612,308.20/890.96
  6. Step 6: Final answer
    x = 687.25

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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.