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Finding the Fourth Proportional to 890.24, 1,229.20 and 541.40

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Solution

The fourth proportional to 890.24, 1,229.20 and 541.40 is: 747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.24 : 1,229.20 = 541.40 : x
  2. Step 2: Convert to fraction form
    890.24/1,229.20 = 541.40/x
  3. Step 3: Cross multiply
    890.24x = 1,229.20 × 541.40
  4. Step 4: Simplify right side
    890.24x = 665,488.88
  5. Step 5: Solve for x
    x = 665,488.88/890.24
  6. Step 6: Final answer
    x = 747.54

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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.