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Finding the Fourth Proportional to 808.47, 1,211.64 and 534.42

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Solution

The fourth proportional to 808.47, 1,211.64 and 534.42 is: 800.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.47 : 1,211.64 = 534.42 : x
  2. Step 2: Convert to fraction form
    808.47/1,211.64 = 534.42/x
  3. Step 3: Cross multiply
    808.47x = 1,211.64 × 534.42
  4. Step 4: Simplify right side
    808.47x = 647,524.65
  5. Step 5: Solve for x
    x = 647,524.65/808.47
  6. Step 6: Final answer
    x = 800.93

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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.