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Finding the Fourth Proportional to 882.11, 1,323.23 and 870.11

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Solution

The fourth proportional to 882.11, 1,323.23 and 870.11 is: 1,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.11 : 1,323.23 = 870.11 : x
  2. Step 2: Convert to fraction form
    882.11/1,323.23 = 870.11/x
  3. Step 3: Cross multiply
    882.11x = 1,323.23 × 870.11
  4. Step 4: Simplify right side
    882.11x = 1,151,351.21
  5. Step 5: Solve for x
    x = 1,151,351.21/882.11
  6. Step 6: Final answer
    x = 1,305.23

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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.