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Finding the Fourth Proportional to 882.25, 1,316.53 and 765.61

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Solution

The fourth proportional to 882.25, 1,316.53 and 765.61 is: 1,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.25 : 1,316.53 = 765.61 : x
  2. Step 2: Convert to fraction form
    882.25/1,316.53 = 765.61/x
  3. Step 3: Cross multiply
    882.25x = 1,316.53 × 765.61
  4. Step 4: Simplify right side
    882.25x = 1,007,948.53
  5. Step 5: Solve for x
    x = 1,007,948.53/882.25
  6. Step 6: Final answer
    x = 1,142.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.