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Finding the Fourth Proportional to 750.68, 1,036.14 and 676.86

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Solution

The fourth proportional to 750.68, 1,036.14 and 676.86 is: 934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.68 : 1,036.14 = 676.86 : x
  2. Step 2: Convert to fraction form
    750.68/1,036.14 = 676.86/x
  3. Step 3: Cross multiply
    750.68x = 1,036.14 × 676.86
  4. Step 4: Simplify right side
    750.68x = 701,321.72
  5. Step 5: Solve for x
    x = 701,321.72/750.68
  6. Step 6: Final answer
    x = 934.25

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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.