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Finding the Fourth Proportional to 750.76, 1,119.16 and 709.72

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Solution

The fourth proportional to 750.76, 1,119.16 and 709.72 is: 1,057.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.76 : 1,119.16 = 709.72 : x
  2. Step 2: Convert to fraction form
    750.76/1,119.16 = 709.72/x
  3. Step 3: Cross multiply
    750.76x = 1,119.16 × 709.72
  4. Step 4: Simplify right side
    750.76x = 794,290.24
  5. Step 5: Solve for x
    x = 794,290.24/750.76
  6. Step 6: Final answer
    x = 1,057.98

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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.