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Finding the Fourth Proportional to 910.33, 1,366.65 and 758.12

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Solution

The fourth proportional to 910.33, 1,366.65 and 758.12 is: 1,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.33 : 1,366.65 = 758.12 : x
  2. Step 2: Convert to fraction form
    910.33/1,366.65 = 758.12/x
  3. Step 3: Cross multiply
    910.33x = 1,366.65 × 758.12
  4. Step 4: Simplify right side
    910.33x = 1,036,084.70
  5. Step 5: Solve for x
    x = 1,036,084.70/910.33
  6. Step 6: Final answer
    x = 1,138.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.