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Finding the Fourth Proportional to 827.65, 1,156.55 and 827.65

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Solution

The fourth proportional to 827.65, 1,156.55 and 827.65 is: 1,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.65 : 1,156.55 = 827.65 : x
  2. Step 2: Convert to fraction form
    827.65/1,156.55 = 827.65/x
  3. Step 3: Cross multiply
    827.65x = 1,156.55 × 827.65
  4. Step 4: Simplify right side
    827.65x = 957,218.61
  5. Step 5: Solve for x
    x = 957,218.61/827.65
  6. Step 6: Final answer
    x = 1,156.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.