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Finding the Fourth Proportional to 2,306.88, 3,459.30 and 663.05

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Solution

The fourth proportional to 2,306.88, 3,459.30 and 663.05 is: 994.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.88 : 3,459.30 = 663.05 : x
  2. Step 2: Convert to fraction form
    2,306.88/3,459.30 = 663.05/x
  3. Step 3: Cross multiply
    2,306.88x = 3,459.30 × 663.05
  4. Step 4: Simplify right side
    2,306.88x = 2,293,688.87
  5. Step 5: Solve for x
    x = 2,293,688.87/2,306.88
  6. Step 6: Final answer
    x = 994.28

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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.