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Finding the Fourth Proportional to 1,161.80, 1,740.90 and 978.20

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Solution

The fourth proportional to 1,161.80, 1,740.90 and 978.20 is: 1,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.80 : 1,740.90 = 978.20 : x
  2. Step 2: Convert to fraction form
    1,161.80/1,740.90 = 978.20/x
  3. Step 3: Cross multiply
    1,161.80x = 1,740.90 × 978.20
  4. Step 4: Simplify right side
    1,161.80x = 1,702,948.38
  5. Step 5: Solve for x
    x = 1,702,948.38/1,161.80
  6. Step 6: Final answer
    x = 1,465.78

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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.