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Finding the Fourth Proportional to 883.18, 1,324.77 and 678.12

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Solution

The fourth proportional to 883.18, 1,324.77 and 678.12 is: 1,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.18 : 1,324.77 = 678.12 : x
  2. Step 2: Convert to fraction form
    883.18/1,324.77 = 678.12/x
  3. Step 3: Cross multiply
    883.18x = 1,324.77 × 678.12
  4. Step 4: Simplify right side
    883.18x = 898,353.03
  5. Step 5: Solve for x
    x = 898,353.03/883.18
  6. Step 6: Final answer
    x = 1,017.18

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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.