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Finding the Fourth Proportional to 890.68, 1,229.28 and 559.40

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Solution

The fourth proportional to 890.68, 1,229.28 and 559.40 is: 772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.68 : 1,229.28 = 559.40 : x
  2. Step 2: Convert to fraction form
    890.68/1,229.28 = 559.40/x
  3. Step 3: Cross multiply
    890.68x = 1,229.28 × 559.40
  4. Step 4: Simplify right side
    890.68x = 687,659.23
  5. Step 5: Solve for x
    x = 687,659.23/890.68
  6. Step 6: Final answer
    x = 772.06

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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.