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Finding the Fourth Proportional to 401.34, 604.84 and 362.87

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Solution

The fourth proportional to 401.34, 604.84 and 362.87 is: 546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.34 : 604.84 = 362.87 : x
  2. Step 2: Convert to fraction form
    401.34/604.84 = 362.87/x
  3. Step 3: Cross multiply
    401.34x = 604.84 × 362.87
  4. Step 4: Simplify right side
    401.34x = 219,474.36
  5. Step 5: Solve for x
    x = 219,474.36/401.34
  6. Step 6: Final answer
    x = 546.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.