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Finding the Fourth Proportional to 690.74, 953.26 and 396.06

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Solution

The fourth proportional to 690.74, 953.26 and 396.06 is: 546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.74 : 953.26 = 396.06 : x
  2. Step 2: Convert to fraction form
    690.74/953.26 = 396.06/x
  3. Step 3: Cross multiply
    690.74x = 953.26 × 396.06
  4. Step 4: Simplify right side
    690.74x = 377,548.16
  5. Step 5: Solve for x
    x = 377,548.16/690.74
  6. Step 6: Final answer
    x = 546.59

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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.