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Finding the Fourth Proportional to 534.34, 737.58 and 378.82

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Solution

The fourth proportional to 534.34, 737.58 and 378.82 is: 522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.34 : 737.58 = 378.82 : x
  2. Step 2: Convert to fraction form
    534.34/737.58 = 378.82/x
  3. Step 3: Cross multiply
    534.34x = 737.58 × 378.82
  4. Step 4: Simplify right side
    534.34x = 279,410.06
  5. Step 5: Solve for x
    x = 279,410.06/534.34
  6. Step 6: Final answer
    x = 522.91

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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.