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Finding the Fourth Proportional to 690.74, 953.24 and 396.05

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Solution

The fourth proportional to 690.74, 953.24 and 396.05 is: 546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.74 : 953.24 = 396.05 : x
  2. Step 2: Convert to fraction form
    690.74/953.24 = 396.05/x
  3. Step 3: Cross multiply
    690.74x = 953.24 × 396.05
  4. Step 4: Simplify right side
    690.74x = 377,530.70
  5. Step 5: Solve for x
    x = 377,530.70/690.74
  6. Step 6: Final answer
    x = 546.56

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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.