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Finding the Fourth Proportional to 891.07, 1,228.17 and 610.81

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Solution

The fourth proportional to 891.07, 1,228.17 and 610.81 is: 841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.07 : 1,228.17 = 610.81 : x
  2. Step 2: Convert to fraction form
    891.07/1,228.17 = 610.81/x
  3. Step 3: Cross multiply
    891.07x = 1,228.17 × 610.81
  4. Step 4: Simplify right side
    891.07x = 750,178.52
  5. Step 5: Solve for x
    x = 750,178.52/891.07
  6. Step 6: Final answer
    x = 841.89

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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.