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Finding the Fourth Proportional to 537.84, 739.13 and 421.20

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Solution

The fourth proportional to 537.84, 739.13 and 421.20 is: 578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.84 : 739.13 = 421.20 : x
  2. Step 2: Convert to fraction form
    537.84/739.13 = 421.20/x
  3. Step 3: Cross multiply
    537.84x = 739.13 × 421.20
  4. Step 4: Simplify right side
    537.84x = 311,319.45
  5. Step 5: Solve for x
    x = 311,319.45/537.84
  6. Step 6: Final answer
    x = 578.83

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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.