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Finding the Fourth Proportional to 535.38, 737.82 and 404.16

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Solution

The fourth proportional to 535.38, 737.82 and 404.16 is: 556.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.38 : 737.82 = 404.16 : x
  2. Step 2: Convert to fraction form
    535.38/737.82 = 404.16/x
  3. Step 3: Cross multiply
    535.38x = 737.82 × 404.16
  4. Step 4: Simplify right side
    535.38x = 298,197.33
  5. Step 5: Solve for x
    x = 298,197.33/535.38
  6. Step 6: Final answer
    x = 556.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.