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Finding the Fourth Proportional to 2,306.40, 3,459.76 and 662.96

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Solution

The fourth proportional to 2,306.40, 3,459.76 and 662.96 is: 994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.40 : 3,459.76 = 662.96 : x
  2. Step 2: Convert to fraction form
    2,306.40/3,459.76 = 662.96/x
  3. Step 3: Cross multiply
    2,306.40x = 3,459.76 × 662.96
  4. Step 4: Simplify right side
    2,306.40x = 2,293,682.49
  5. Step 5: Solve for x
    x = 2,293,682.49/2,306.40
  6. Step 6: Final answer
    x = 994.49

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1.5x scale

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.