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Finding the Fourth Proportional to 790.84, 1,086.89 and 741.88

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Solution

The fourth proportional to 790.84, 1,086.89 and 741.88 is: 1,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.84 : 1,086.89 = 741.88 : x
  2. Step 2: Convert to fraction form
    790.84/1,086.89 = 741.88/x
  3. Step 3: Cross multiply
    790.84x = 1,086.89 × 741.88
  4. Step 4: Simplify right side
    790.84x = 806,341.95
  5. Step 5: Solve for x
    x = 806,341.95/790.84
  6. Step 6: Final answer
    x = 1,019.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.