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Finding the Fourth Proportional to 750.80, 1,036.82 and 709.90

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Solution

The fourth proportional to 750.80, 1,036.82 and 709.90 is: 980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.80 : 1,036.82 = 709.90 : x
  2. Step 2: Convert to fraction form
    750.80/1,036.82 = 709.90/x
  3. Step 3: Cross multiply
    750.80x = 1,036.82 × 709.90
  4. Step 4: Simplify right side
    750.80x = 736,032.43
  5. Step 5: Solve for x
    x = 736,032.43/750.80
  6. Step 6: Final answer
    x = 980.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.