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Finding the Fourth Proportional to 2,306.70, 3,459.67 and 662.87

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Solution

The fourth proportional to 2,306.70, 3,459.67 and 662.87 is: 994.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.70 : 3,459.67 = 662.87 : x
  2. Step 2: Convert to fraction form
    2,306.70/3,459.67 = 662.87/x
  3. Step 3: Cross multiply
    2,306.70x = 3,459.67 × 662.87
  4. Step 4: Simplify right side
    2,306.70x = 2,293,313.11
  5. Step 5: Solve for x
    x = 2,293,313.11/2,306.70
  6. Step 6: Final answer
    x = 994.20

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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.