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Finding the Fourth Proportional to 1,161.62, 1,603.07 and 830.83

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Solution

The fourth proportional to 1,161.62, 1,603.07 and 830.83 is: 1,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.62 : 1,603.07 = 830.83 : x
  2. Step 2: Convert to fraction form
    1,161.62/1,603.07 = 830.83/x
  3. Step 3: Cross multiply
    1,161.62x = 1,603.07 × 830.83
  4. Step 4: Simplify right side
    1,161.62x = 1,331,878.65
  5. Step 5: Solve for x
    x = 1,331,878.65/1,161.62
  6. Step 6: Final answer
    x = 1,146.57

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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.