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Finding the Fourth Proportional to 882.66, 1,328.60 and 797.83

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Solution

The fourth proportional to 882.66, 1,328.60 and 797.83 is: 1,200.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.66 : 1,328.60 = 797.83 : x
  2. Step 2: Convert to fraction form
    882.66/1,328.60 = 797.83/x
  3. Step 3: Cross multiply
    882.66x = 1,328.60 × 797.83
  4. Step 4: Simplify right side
    882.66x = 1,059,996.08
  5. Step 5: Solve for x
    x = 1,059,996.08/882.66
  6. Step 6: Final answer
    x = 1,200.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.