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Finding the Fourth Proportional to 890.97, 1,228.96 and 559.10

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Solution

The fourth proportional to 890.97, 1,228.96 and 559.10 is: 771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.97 : 1,228.96 = 559.10 : x
  2. Step 2: Convert to fraction form
    890.97/1,228.96 = 559.10/x
  3. Step 3: Cross multiply
    890.97x = 1,228.96 × 559.10
  4. Step 4: Simplify right side
    890.97x = 687,112.16
  5. Step 5: Solve for x
    x = 687,112.16/890.97
  6. Step 6: Final answer
    x = 771.20

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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.