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Finding the Fourth Proportional to 807.40, 1,209.66 and 549.64

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Solution

The fourth proportional to 807.40, 1,209.66 and 549.64 is: 823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.40 : 1,209.66 = 549.64 : x
  2. Step 2: Convert to fraction form
    807.40/1,209.66 = 549.64/x
  3. Step 3: Cross multiply
    807.40x = 1,209.66 × 549.64
  4. Step 4: Simplify right side
    807.40x = 664,877.52
  5. Step 5: Solve for x
    x = 664,877.52/807.40
  6. Step 6: Final answer
    x = 823.48

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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.