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Finding the Fourth Proportional to 780.46, 1,077.48 and 749.48

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Solution

The fourth proportional to 780.46, 1,077.48 and 749.48 is: 1,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.46 : 1,077.48 = 749.48 : x
  2. Step 2: Convert to fraction form
    780.46/1,077.48 = 749.48/x
  3. Step 3: Cross multiply
    780.46x = 1,077.48 × 749.48
  4. Step 4: Simplify right side
    780.46x = 807,544.32
  5. Step 5: Solve for x
    x = 807,544.32/780.46
  6. Step 6: Final answer
    x = 1,034.71

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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.