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Finding the Fourth Proportional to 846.33, 1,262.28 and 717.18

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Solution

The fourth proportional to 846.33, 1,262.28 and 717.18 is: 1,069.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.33 : 1,262.28 = 717.18 : x
  2. Step 2: Convert to fraction form
    846.33/1,262.28 = 717.18/x
  3. Step 3: Cross multiply
    846.33x = 1,262.28 × 717.18
  4. Step 4: Simplify right side
    846.33x = 905,281.97
  5. Step 5: Solve for x
    x = 905,281.97/846.33
  6. Step 6: Final answer
    x = 1,069.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.