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Finding the Fourth Proportional to 838.80, 1,259.24 and 805.77

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Solution

The fourth proportional to 838.80, 1,259.24 and 805.77 is: 1,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.80 : 1,259.24 = 805.77 : x
  2. Step 2: Convert to fraction form
    838.80/1,259.24 = 805.77/x
  3. Step 3: Cross multiply
    838.80x = 1,259.24 × 805.77
  4. Step 4: Simplify right side
    838.80x = 1,014,653.79
  5. Step 5: Solve for x
    x = 1,014,653.79/838.80
  6. Step 6: Final answer
    x = 1,209.65

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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.