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Finding the Fourth Proportional to 690.72, 953.19 and 396.08

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Solution

The fourth proportional to 690.72, 953.19 and 396.08 is: 546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.72 : 953.19 = 396.08 : x
  2. Step 2: Convert to fraction form
    690.72/953.19 = 396.08/x
  3. Step 3: Cross multiply
    690.72x = 953.19 × 396.08
  4. Step 4: Simplify right side
    690.72x = 377,534.73
  5. Step 5: Solve for x
    x = 377,534.73/690.72
  6. Step 6: Final answer
    x = 546.58

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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.