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Finding the Fourth Proportional to 716.47, 1,073.75 and 455.65

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Solution

The fourth proportional to 716.47, 1,073.75 and 455.65 is: 682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.47 : 1,073.75 = 455.65 : x
  2. Step 2: Convert to fraction form
    716.47/1,073.75 = 455.65/x
  3. Step 3: Cross multiply
    716.47x = 1,073.75 × 455.65
  4. Step 4: Simplify right side
    716.47x = 489,254.19
  5. Step 5: Solve for x
    x = 489,254.19/716.47
  6. Step 6: Final answer
    x = 682.87

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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.