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Finding the Fourth Proportional to 1,161.50, 1,603.14 and 789.10

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Solution

The fourth proportional to 1,161.50, 1,603.14 and 789.10 is: 1,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.50 : 1,603.14 = 789.10 : x
  2. Step 2: Convert to fraction form
    1,161.50/1,603.14 = 789.10/x
  3. Step 3: Cross multiply
    1,161.50x = 1,603.14 × 789.10
  4. Step 4: Simplify right side
    1,161.50x = 1,265,037.77
  5. Step 5: Solve for x
    x = 1,265,037.77/1,161.50
  6. Step 6: Final answer
    x = 1,089.14

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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.