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Finding the Fourth Proportional to 534.88, 738.40 and 377.86

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Solution

The fourth proportional to 534.88, 738.40 and 377.86 is: 521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.88 : 738.40 = 377.86 : x
  2. Step 2: Convert to fraction form
    534.88/738.40 = 377.86/x
  3. Step 3: Cross multiply
    534.88x = 738.40 × 377.86
  4. Step 4: Simplify right side
    534.88x = 279,011.82
  5. Step 5: Solve for x
    x = 279,011.82/534.88
  6. Step 6: Final answer
    x = 521.63

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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.