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Finding the Fourth Proportional to 1,444.19, 1,992.97 and 781.04

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Solution

The fourth proportional to 1,444.19, 1,992.97 and 781.04 is: 1,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.19 : 1,992.97 = 781.04 : x
  2. Step 2: Convert to fraction form
    1,444.19/1,992.97 = 781.04/x
  3. Step 3: Cross multiply
    1,444.19x = 1,992.97 × 781.04
  4. Step 4: Simplify right side
    1,444.19x = 1,556,580.30
  5. Step 5: Solve for x
    x = 1,556,580.30/1,444.19
  6. Step 6: Final answer
    x = 1,077.82

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1.5x scale

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.