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Finding the Fourth Proportional to 1,726.60, 2,382.68 and 940.63

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Solution

The fourth proportional to 1,726.60, 2,382.68 and 940.63 is: 1,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.60 : 2,382.68 = 940.63 : x
  2. Step 2: Convert to fraction form
    1,726.60/2,382.68 = 940.63/x
  3. Step 3: Cross multiply
    1,726.60x = 2,382.68 × 940.63
  4. Step 4: Simplify right side
    1,726.60x = 2,241,220.29
  5. Step 5: Solve for x
    x = 2,241,220.29/1,726.60
  6. Step 6: Final answer
    x = 1,298.05

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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.