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Finding the Fourth Proportional to 1,444.66, 1,993.61 and 781.51

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Solution

The fourth proportional to 1,444.66, 1,993.61 and 781.51 is: 1,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.66 : 1,993.61 = 781.51 : x
  2. Step 2: Convert to fraction form
    1,444.66/1,993.61 = 781.51/x
  3. Step 3: Cross multiply
    1,444.66x = 1,993.61 × 781.51
  4. Step 4: Simplify right side
    1,444.66x = 1,558,023.12
  5. Step 5: Solve for x
    x = 1,558,023.12/1,444.66
  6. Step 6: Final answer
    x = 1,078.47

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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.