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Finding the Fourth Proportional to 549.80, 820.71 and 473.25

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Solution

The fourth proportional to 549.80, 820.71 and 473.25 is: 706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.80 : 820.71 = 473.25 : x
  2. Step 2: Convert to fraction form
    549.80/820.71 = 473.25/x
  3. Step 3: Cross multiply
    549.80x = 820.71 × 473.25
  4. Step 4: Simplify right side
    549.80x = 388,404.09
  5. Step 5: Solve for x
    x = 388,404.09/549.80
  6. Step 6: Final answer
    x = 706.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.