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Finding the Fourth Proportional to 718.80, 1,069.59 and 716.37

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Solution

The fourth proportional to 718.80, 1,069.59 and 716.37 is: 1,065.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.80 : 1,069.59 = 716.37 : x
  2. Step 2: Convert to fraction form
    718.80/1,069.59 = 716.37/x
  3. Step 3: Cross multiply
    718.80x = 1,069.59 × 716.37
  4. Step 4: Simplify right side
    718.80x = 766,222.19
  5. Step 5: Solve for x
    x = 766,222.19/718.80
  6. Step 6: Final answer
    x = 1,065.97

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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.