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Finding the Fourth Proportional to 808.77, 1,214.21 and 693.96

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Solution

The fourth proportional to 808.77, 1,214.21 and 693.96 is: 1,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.77 : 1,214.21 = 693.96 : x
  2. Step 2: Convert to fraction form
    808.77/1,214.21 = 693.96/x
  3. Step 3: Cross multiply
    808.77x = 1,214.21 × 693.96
  4. Step 4: Simplify right side
    808.77x = 842,613.17
  5. Step 5: Solve for x
    x = 842,613.17/808.77
  6. Step 6: Final answer
    x = 1,041.85

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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.