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Finding the Fourth Proportional to 537.78, 737.30 and 528.06

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Solution

The fourth proportional to 537.78, 737.30 and 528.06 is: 723.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.78 : 737.30 = 528.06 : x
  2. Step 2: Convert to fraction form
    537.78/737.30 = 528.06/x
  3. Step 3: Cross multiply
    537.78x = 737.30 × 528.06
  4. Step 4: Simplify right side
    537.78x = 389,338.64
  5. Step 5: Solve for x
    x = 389,338.64/537.78
  6. Step 6: Final answer
    x = 723.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.