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Finding the Fourth Proportional to 1,161.88, 1,603.96 and 783.87

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Solution

The fourth proportional to 1,161.88, 1,603.96 and 783.87 is: 1,082.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.88 : 1,603.96 = 783.87 : x
  2. Step 2: Convert to fraction form
    1,161.88/1,603.96 = 783.87/x
  3. Step 3: Cross multiply
    1,161.88x = 1,603.96 × 783.87
  4. Step 4: Simplify right side
    1,161.88x = 1,257,288.11
  5. Step 5: Solve for x
    x = 1,257,288.11/1,161.88
  6. Step 6: Final answer
    x = 1,082.12

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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.