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Finding the Fourth Proportional to 827.13, 1,239.62 and 306.65

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Solution

The fourth proportional to 827.13, 1,239.62 and 306.65 is: 459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.13 : 1,239.62 = 306.65 : x
  2. Step 2: Convert to fraction form
    827.13/1,239.62 = 306.65/x
  3. Step 3: Cross multiply
    827.13x = 1,239.62 × 306.65
  4. Step 4: Simplify right side
    827.13x = 380,132.76
  5. Step 5: Solve for x
    x = 380,132.76/827.13
  6. Step 6: Final answer
    x = 459.58

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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.