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Finding the Fourth Proportional to 534.82, 737.90 and 313.78

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Solution

The fourth proportional to 534.82, 737.90 and 313.78 is: 432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.82 : 737.90 = 313.78 : x
  2. Step 2: Convert to fraction form
    534.82/737.90 = 313.78/x
  3. Step 3: Cross multiply
    534.82x = 737.90 × 313.78
  4. Step 4: Simplify right side
    534.82x = 231,536.69
  5. Step 5: Solve for x
    x = 231,536.69/534.82
  6. Step 6: Final answer
    x = 432.92

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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.