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Finding the Fourth Proportional to 1,444.79, 1,993.82 and 781.65

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Solution

The fourth proportional to 1,444.79, 1,993.82 and 781.65 is: 1,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.79 : 1,993.82 = 781.65 : x
  2. Step 2: Convert to fraction form
    1,444.79/1,993.82 = 781.65/x
  3. Step 3: Cross multiply
    1,444.79x = 1,993.82 × 781.65
  4. Step 4: Simplify right side
    1,444.79x = 1,558,465.49
  5. Step 5: Solve for x
    x = 1,558,465.49/1,444.79
  6. Step 6: Final answer
    x = 1,078.68

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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.