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Finding the Fourth Proportional to 718.97, 1,078.46 and 393.65

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Solution

The fourth proportional to 718.97, 1,078.46 and 393.65 is: 590.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.97 : 1,078.46 = 393.65 : x
  2. Step 2: Convert to fraction form
    718.97/1,078.46 = 393.65/x
  3. Step 3: Cross multiply
    718.97x = 1,078.46 × 393.65
  4. Step 4: Simplify right side
    718.97x = 424,535.78
  5. Step 5: Solve for x
    x = 424,535.78/718.97
  6. Step 6: Final answer
    x = 590.48

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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.