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Finding the Fourth Proportional to 547.07, 822.20 and 365.73

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Solution

The fourth proportional to 547.07, 822.20 and 365.73 is: 549.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.07 : 822.20 = 365.73 : x
  2. Step 2: Convert to fraction form
    547.07/822.20 = 365.73/x
  3. Step 3: Cross multiply
    547.07x = 822.20 × 365.73
  4. Step 4: Simplify right side
    547.07x = 300,701.38
  5. Step 5: Solve for x
    x = 300,701.38/547.07
  6. Step 6: Final answer
    x = 549.66

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1.5x scale

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.