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Finding the Fourth Proportional to 1,166.80, 1,747.64 and 974.80

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Solution

The fourth proportional to 1,166.80, 1,747.64 and 974.80 is: 1,460.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.80 : 1,747.64 = 974.80 : x
  2. Step 2: Convert to fraction form
    1,166.80/1,747.64 = 974.80/x
  3. Step 3: Cross multiply
    1,166.80x = 1,747.64 × 974.80
  4. Step 4: Simplify right side
    1,166.80x = 1,703,599.47
  5. Step 5: Solve for x
    x = 1,703,599.47/1,166.80
  6. Step 6: Final answer
    x = 1,460.06

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1.5x scale

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.