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Finding the Fourth Proportional to 882.14, 1,216.68 and 782.66

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Solution

The fourth proportional to 882.14, 1,216.68 and 782.66 is: 1,079.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.14 : 1,216.68 = 782.66 : x
  2. Step 2: Convert to fraction form
    882.14/1,216.68 = 782.66/x
  3. Step 3: Cross multiply
    882.14x = 1,216.68 × 782.66
  4. Step 4: Simplify right side
    882.14x = 952,246.77
  5. Step 5: Solve for x
    x = 952,246.77/882.14
  6. Step 6: Final answer
    x = 1,079.47

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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.