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Finding the Fourth Proportional to 807.93, 1,212.05 and 534.26

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Solution

The fourth proportional to 807.93, 1,212.05 and 534.26 is: 801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.93 : 1,212.05 = 534.26 : x
  2. Step 2: Convert to fraction form
    807.93/1,212.05 = 534.26/x
  3. Step 3: Cross multiply
    807.93x = 1,212.05 × 534.26
  4. Step 4: Simplify right side
    807.93x = 647,545.11
  5. Step 5: Solve for x
    x = 647,545.11/807.93
  6. Step 6: Final answer
    x = 801.48

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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.