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Finding the Fourth Proportional to 718.61, 1,069.31 and 716.18

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Solution

The fourth proportional to 718.61, 1,069.31 and 716.18 is: 1,065.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.61 : 1,069.31 = 716.18 : x
  2. Step 2: Convert to fraction form
    718.61/1,069.31 = 716.18/x
  3. Step 3: Cross multiply
    718.61x = 1,069.31 × 716.18
  4. Step 4: Simplify right side
    718.61x = 765,814.85
  5. Step 5: Solve for x
    x = 765,814.85/718.61
  6. Step 6: Final answer
    x = 1,065.69

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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.