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Finding the Fourth Proportional to 1,305.04, 1,801.11 and 781.06

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Solution

The fourth proportional to 1,305.04, 1,801.11 and 781.06 is: 1,077.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.04 : 1,801.11 = 781.06 : x
  2. Step 2: Convert to fraction form
    1,305.04/1,801.11 = 781.06/x
  3. Step 3: Cross multiply
    1,305.04x = 1,801.11 × 781.06
  4. Step 4: Simplify right side
    1,305.04x = 1,406,774.98
  5. Step 5: Solve for x
    x = 1,406,774.98/1,305.04
  6. Step 6: Final answer
    x = 1,077.96

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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.