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Finding the Fourth Proportional to 536, 737.52 and 404.48

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Solution

The fourth proportional to 536, 737.52 and 404.48 is: 556.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    536 : 737.52 = 404.48 : x
  2. Step 2: Convert to fraction form
    536/737.52 = 404.48/x
  3. Step 3: Cross multiply
    536x = 737.52 × 404.48
  4. Step 4: Simplify right side
    536x = 298,312.09
  5. Step 5: Solve for x
    x = 298,312.09/536
  6. Step 6: Final answer
    x = 556.55

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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.