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Finding the Fourth Proportional to 537.10, 737.83 and 438.55

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Solution

The fourth proportional to 537.10, 737.83 and 438.55 is: 602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.10 : 737.83 = 438.55 : x
  2. Step 2: Convert to fraction form
    537.10/737.83 = 438.55/x
  3. Step 3: Cross multiply
    537.10x = 737.83 × 438.55
  4. Step 4: Simplify right side
    537.10x = 323,575.35
  5. Step 5: Solve for x
    x = 323,575.35/537.10
  6. Step 6: Final answer
    x = 602.45

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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.