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Finding the Fourth Proportional to 1,177.49, 1,767.78 and 919.17

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Solution

The fourth proportional to 1,177.49, 1,767.78 and 919.17 is: 1,379.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.49 : 1,767.78 = 919.17 : x
  2. Step 2: Convert to fraction form
    1,177.49/1,767.78 = 919.17/x
  3. Step 3: Cross multiply
    1,177.49x = 1,767.78 × 919.17
  4. Step 4: Simplify right side
    1,177.49x = 1,624,890.34
  5. Step 5: Solve for x
    x = 1,624,890.34/1,177.49
  6. Step 6: Final answer
    x = 1,379.97

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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.