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Finding the Fourth Proportional to 1,385.29, 2,077.93 and 836.31

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Solution

The fourth proportional to 1,385.29, 2,077.93 and 836.31 is: 1,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.29 : 2,077.93 = 836.31 : x
  2. Step 2: Convert to fraction form
    1,385.29/2,077.93 = 836.31/x
  3. Step 3: Cross multiply
    1,385.29x = 2,077.93 × 836.31
  4. Step 4: Simplify right side
    1,385.29x = 1,737,788.44
  5. Step 5: Solve for x
    x = 1,737,788.44/1,385.29
  6. Step 6: Final answer
    x = 1,254.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.