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Finding the Fourth Proportional to 827.13, 1,141.47 and 491.07

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Solution

The fourth proportional to 827.13, 1,141.47 and 491.07 is: 677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.13 : 1,141.47 = 491.07 : x
  2. Step 2: Convert to fraction form
    827.13/1,141.47 = 491.07/x
  3. Step 3: Cross multiply
    827.13x = 1,141.47 × 491.07
  4. Step 4: Simplify right side
    827.13x = 560,541.67
  5. Step 5: Solve for x
    x = 560,541.67/827.13
  6. Step 6: Final answer
    x = 677.69

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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.