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Finding the Fourth Proportional to 890.29, 1,228.57 and 517.32

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Solution

The fourth proportional to 890.29, 1,228.57 and 517.32 is: 713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.29 : 1,228.57 = 517.32 : x
  2. Step 2: Convert to fraction form
    890.29/1,228.57 = 517.32/x
  3. Step 3: Cross multiply
    890.29x = 1,228.57 × 517.32
  4. Step 4: Simplify right side
    890.29x = 635,562.54
  5. Step 5: Solve for x
    x = 635,562.54/890.29
  6. Step 6: Final answer
    x = 713.88

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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.