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Finding the Fourth Proportional to 1,657.91, 2,287.50 and 994.79

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Solution

The fourth proportional to 1,657.91, 2,287.50 and 994.79 is: 1,372.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.91 : 2,287.50 = 994.79 : x
  2. Step 2: Convert to fraction form
    1,657.91/2,287.50 = 994.79/x
  3. Step 3: Cross multiply
    1,657.91x = 2,287.50 × 994.79
  4. Step 4: Simplify right side
    1,657.91x = 2,275,582.13
  5. Step 5: Solve for x
    x = 2,275,582.13/1,657.91
  6. Step 6: Final answer
    x = 1,372.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.