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Finding the Fourth Proportional to 887.13, 1,324.11 and 783.34

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Solution

The fourth proportional to 887.13, 1,324.11 and 783.34 is: 1,169.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.13 : 1,324.11 = 783.34 : x
  2. Step 2: Convert to fraction form
    887.13/1,324.11 = 783.34/x
  3. Step 3: Cross multiply
    887.13x = 1,324.11 × 783.34
  4. Step 4: Simplify right side
    887.13x = 1,037,227.95
  5. Step 5: Solve for x
    x = 1,037,227.95/887.13
  6. Step 6: Final answer
    x = 1,169.19

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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.