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Finding the Fourth Proportional to 780.38, 1,081.86 and 738.77

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Solution

The fourth proportional to 780.38, 1,081.86 and 738.77 is: 1,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.38 : 1,081.86 = 738.77 : x
  2. Step 2: Convert to fraction form
    780.38/1,081.86 = 738.77/x
  3. Step 3: Cross multiply
    780.38x = 1,081.86 × 738.77
  4. Step 4: Simplify right side
    780.38x = 799,236.61
  5. Step 5: Solve for x
    x = 799,236.61/780.38
  6. Step 6: Final answer
    x = 1,024.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.