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Finding the Fourth Proportional to 2,333.60, 3,499.95 and 689.78

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Solution

The fourth proportional to 2,333.60, 3,499.95 and 689.78 is: 1,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.60 : 3,499.95 = 689.78 : x
  2. Step 2: Convert to fraction form
    2,333.60/3,499.95 = 689.78/x
  3. Step 3: Cross multiply
    2,333.60x = 3,499.95 × 689.78
  4. Step 4: Simplify right side
    2,333.60x = 2,414,195.51
  5. Step 5: Solve for x
    x = 2,414,195.51/2,333.60
  6. Step 6: Final answer
    x = 1,034.54

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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.