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Finding the Fourth Proportional to 1,161.62, 1,740.54 and 978.92

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Solution

The fourth proportional to 1,161.62, 1,740.54 and 978.92 is: 1,466.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.62 : 1,740.54 = 978.92 : x
  2. Step 2: Convert to fraction form
    1,161.62/1,740.54 = 978.92/x
  3. Step 3: Cross multiply
    1,161.62x = 1,740.54 × 978.92
  4. Step 4: Simplify right side
    1,161.62x = 1,703,849.42
  5. Step 5: Solve for x
    x = 1,703,849.42/1,161.62
  6. Step 6: Final answer
    x = 1,466.79

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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.