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Finding the Fourth Proportional to 2,306.50, 3,459.78 and 767.50

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Solution

The fourth proportional to 2,306.50, 3,459.78 and 767.50 is: 1,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.50 : 3,459.78 = 767.50 : x
  2. Step 2: Convert to fraction form
    2,306.50/3,459.78 = 767.50/x
  3. Step 3: Cross multiply
    2,306.50x = 3,459.78 × 767.50
  4. Step 4: Simplify right side
    2,306.50x = 2,655,381.15
  5. Step 5: Solve for x
    x = 2,655,381.15/2,306.50
  6. Step 6: Final answer
    x = 1,151.26

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Why These Related Problems?

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