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Finding the Fourth Proportional to 1,274.50, 1,911.23 and 581.65

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Solution

The fourth proportional to 1,274.50, 1,911.23 and 581.65 is: 872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.50 : 1,911.23 = 581.65 : x
  2. Step 2: Convert to fraction form
    1,274.50/1,911.23 = 581.65/x
  3. Step 3: Cross multiply
    1,274.50x = 1,911.23 × 581.65
  4. Step 4: Simplify right side
    1,274.50x = 1,111,661.42
  5. Step 5: Solve for x
    x = 1,111,661.42/1,274.50
  6. Step 6: Final answer
    x = 872.23

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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.