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Finding the Fourth Proportional to 2,306.64, 3,459.95 and 640.79

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Solution

The fourth proportional to 2,306.64, 3,459.95 and 640.79 is: 961.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.64 : 3,459.95 = 640.79 : x
  2. Step 2: Convert to fraction form
    2,306.64/3,459.95 = 640.79/x
  3. Step 3: Cross multiply
    2,306.64x = 3,459.95 × 640.79
  4. Step 4: Simplify right side
    2,306.64x = 2,217,101.36
  5. Step 5: Solve for x
    x = 2,217,101.36/2,306.64
  6. Step 6: Final answer
    x = 961.18

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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.