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Finding the Fourth Proportional to 1,250.49, 1,725.33 and 778.47

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Solution

The fourth proportional to 1,250.49, 1,725.33 and 778.47 is: 1,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.49 : 1,725.33 = 778.47 : x
  2. Step 2: Convert to fraction form
    1,250.49/1,725.33 = 778.47/x
  3. Step 3: Cross multiply
    1,250.49x = 1,725.33 × 778.47
  4. Step 4: Simplify right side
    1,250.49x = 1,343,117.65
  5. Step 5: Solve for x
    x = 1,343,117.65/1,250.49
  6. Step 6: Final answer
    x = 1,074.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.