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Finding the Fourth Proportional to 783.80, 1,081.74 and 760.10

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Solution

The fourth proportional to 783.80, 1,081.74 and 760.10 is: 1,049.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.80 : 1,081.74 = 760.10 : x
  2. Step 2: Convert to fraction form
    783.80/1,081.74 = 760.10/x
  3. Step 3: Cross multiply
    783.80x = 1,081.74 × 760.10
  4. Step 4: Simplify right side
    783.80x = 822,230.57
  5. Step 5: Solve for x
    x = 822,230.57/783.80
  6. Step 6: Final answer
    x = 1,049.03

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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.