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Finding the Fourth Proportional to 1,257.69, 1,736.51 and 1,124.52

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Solution

The fourth proportional to 1,257.69, 1,736.51 and 1,124.52 is: 1,552.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.69 : 1,736.51 = 1,124.52 : x
  2. Step 2: Convert to fraction form
    1,257.69/1,736.51 = 1,124.52/x
  3. Step 3: Cross multiply
    1,257.69x = 1,736.51 × 1,124.52
  4. Step 4: Simplify right side
    1,257.69x = 1,952,728.09
  5. Step 5: Solve for x
    x = 1,952,728.09/1,257.69
  6. Step 6: Final answer
    x = 1,552.63

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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.