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Finding the Fourth Proportional to 1,252.59, 1,726.77 and 878.41

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Solution

The fourth proportional to 1,252.59, 1,726.77 and 878.41 is: 1,210.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.59 : 1,726.77 = 878.41 : x
  2. Step 2: Convert to fraction form
    1,252.59/1,726.77 = 878.41/x
  3. Step 3: Cross multiply
    1,252.59x = 1,726.77 × 878.41
  4. Step 4: Simplify right side
    1,252.59x = 1,516,816.25
  5. Step 5: Solve for x
    x = 1,516,816.25/1,252.59
  6. Step 6: Final answer
    x = 1,210.94

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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.