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Finding the Fourth Proportional to 890.59, 1,229.10 and 559.03

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Solution

The fourth proportional to 890.59, 1,229.10 and 559.03 is: 771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.59 : 1,229.10 = 559.03 : x
  2. Step 2: Convert to fraction form
    890.59/1,229.10 = 559.03/x
  3. Step 3: Cross multiply
    890.59x = 1,229.10 × 559.03
  4. Step 4: Simplify right side
    890.59x = 687,103.77
  5. Step 5: Solve for x
    x = 687,103.77/890.59
  6. Step 6: Final answer
    x = 771.52

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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.