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Finding the Fourth Proportional to 826.79, 1,240.18 and 306.78

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Solution

The fourth proportional to 826.79, 1,240.18 and 306.78 is: 460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.79 : 1,240.18 = 306.78 : x
  2. Step 2: Convert to fraction form
    826.79/1,240.18 = 306.78/x
  3. Step 3: Cross multiply
    826.79x = 1,240.18 × 306.78
  4. Step 4: Simplify right side
    826.79x = 380,460.80
  5. Step 5: Solve for x
    x = 380,460.80/826.79
  6. Step 6: Final answer
    x = 460.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.