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Finding the Fourth Proportional to 829.74, 1,250.15 and 750.68

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Solution

The fourth proportional to 829.74, 1,250.15 and 750.68 is: 1,131.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.74 : 1,250.15 = 750.68 : x
  2. Step 2: Convert to fraction form
    829.74/1,250.15 = 750.68/x
  3. Step 3: Cross multiply
    829.74x = 1,250.15 × 750.68
  4. Step 4: Simplify right side
    829.74x = 938,459.87
  5. Step 5: Solve for x
    x = 938,459.87/829.74
  6. Step 6: Final answer
    x = 1,131.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.