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Finding the Fourth Proportional to 1,229.31, 1,693.80 and 835.65

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Solution

The fourth proportional to 1,229.31, 1,693.80 and 835.65 is: 1,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.31 : 1,693.80 = 835.65 : x
  2. Step 2: Convert to fraction form
    1,229.31/1,693.80 = 835.65/x
  3. Step 3: Cross multiply
    1,229.31x = 1,693.80 × 835.65
  4. Step 4: Simplify right side
    1,229.31x = 1,415,423.97
  5. Step 5: Solve for x
    x = 1,415,423.97/1,229.31
  6. Step 6: Final answer
    x = 1,151.40

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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.