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Finding the Fourth Proportional to 716.23, 1,074.35 and 473.23

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Solution

The fourth proportional to 716.23, 1,074.35 and 473.23 is: 709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.23 : 1,074.35 = 473.23 : x
  2. Step 2: Convert to fraction form
    716.23/1,074.35 = 473.23/x
  3. Step 3: Cross multiply
    716.23x = 1,074.35 × 473.23
  4. Step 4: Simplify right side
    716.23x = 508,414.65
  5. Step 5: Solve for x
    x = 508,414.65/716.23
  6. Step 6: Final answer
    x = 709.85

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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.