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Finding the Fourth Proportional to 890.77, 1,229.37 and 517.94

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Solution

The fourth proportional to 890.77, 1,229.37 and 517.94 is: 714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.77 : 1,229.37 = 517.94 : x
  2. Step 2: Convert to fraction form
    890.77/1,229.37 = 517.94/x
  3. Step 3: Cross multiply
    890.77x = 1,229.37 × 517.94
  4. Step 4: Simplify right side
    890.77x = 636,739.90
  5. Step 5: Solve for x
    x = 636,739.90/890.77
  6. Step 6: Final answer
    x = 714.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.