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Finding the Fourth Proportional to 531.14, 799.65 and 369.95

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Solution

The fourth proportional to 531.14, 799.65 and 369.95 is: 556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.14 : 799.65 = 369.95 : x
  2. Step 2: Convert to fraction form
    531.14/799.65 = 369.95/x
  3. Step 3: Cross multiply
    531.14x = 799.65 × 369.95
  4. Step 4: Simplify right side
    531.14x = 295,826.52
  5. Step 5: Solve for x
    x = 295,826.52/531.14
  6. Step 6: Final answer
    x = 556.97

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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.