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Finding the Fourth Proportional to 732.35, 1,093.20 and 678.14

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Solution

The fourth proportional to 732.35, 1,093.20 and 678.14 is: 1,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.35 : 1,093.20 = 678.14 : x
  2. Step 2: Convert to fraction form
    732.35/1,093.20 = 678.14/x
  3. Step 3: Cross multiply
    732.35x = 1,093.20 × 678.14
  4. Step 4: Simplify right side
    732.35x = 741,342.65
  5. Step 5: Solve for x
    x = 741,342.65/732.35
  6. Step 6: Final answer
    x = 1,012.28

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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.