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Finding the Fourth Proportional to 690.81, 953.40 and 396.02

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Solution

The fourth proportional to 690.81, 953.40 and 396.02 is: 546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.81 : 953.40 = 396.02 : x
  2. Step 2: Convert to fraction form
    690.81/953.40 = 396.02/x
  3. Step 3: Cross multiply
    690.81x = 953.40 × 396.02
  4. Step 4: Simplify right side
    690.81x = 377,563.97
  5. Step 5: Solve for x
    x = 377,563.97/690.81
  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.