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Finding the Fourth Proportional to 886.25, 1,329.65 and 309.13

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Solution

The fourth proportional to 886.25, 1,329.65 and 309.13 is: 463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.25 : 1,329.65 = 309.13 : x
  2. Step 2: Convert to fraction form
    886.25/1,329.65 = 309.13/x
  3. Step 3: Cross multiply
    886.25x = 1,329.65 × 309.13
  4. Step 4: Simplify right side
    886.25x = 411,034.70
  5. Step 5: Solve for x
    x = 411,034.70/886.25
  6. Step 6: Final answer
    x = 463.79

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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.