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Finding the Fourth Proportional to 807.08, 1,209.80 and 547.11

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Solution

The fourth proportional to 807.08, 1,209.80 and 547.11 is: 820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.08 : 1,209.80 = 547.11 : x
  2. Step 2: Convert to fraction form
    807.08/1,209.80 = 547.11/x
  3. Step 3: Cross multiply
    807.08x = 1,209.80 × 547.11
  4. Step 4: Simplify right side
    807.08x = 661,892.02
  5. Step 5: Solve for x
    x = 661,892.02/807.08
  6. Step 6: Final answer
    x = 820.11

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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.