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Finding the Fourth Proportional to 2,306.86, 3,460.88 and 663.53

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Solution

The fourth proportional to 2,306.86, 3,460.88 and 663.53 is: 995.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.86 : 3,460.88 = 663.53 : x
  2. Step 2: Convert to fraction form
    2,306.86/3,460.88 = 663.53/x
  3. Step 3: Cross multiply
    2,306.86x = 3,460.88 × 663.53
  4. Step 4: Simplify right side
    2,306.86x = 2,296,394.39
  5. Step 5: Solve for x
    x = 2,296,394.39/2,306.86
  6. Step 6: Final answer
    x = 995.47

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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.