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Finding the Fourth Proportional to 890.19, 1,228.50 and 517.25

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Solution

The fourth proportional to 890.19, 1,228.50 and 517.25 is: 713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.19 : 1,228.50 = 517.25 : x
  2. Step 2: Convert to fraction form
    890.19/1,228.50 = 517.25/x
  3. Step 3: Cross multiply
    890.19x = 1,228.50 × 517.25
  4. Step 4: Simplify right side
    890.19x = 635,444.70
  5. Step 5: Solve for x
    x = 635,444.70/890.19
  6. Step 6: Final answer
    x = 713.83

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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.