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Finding the Fourth Proportional to 691.37, 953.76 and 396.47

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Solution

The fourth proportional to 691.37, 953.76 and 396.47 is: 546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.37 : 953.76 = 396.47 : x
  2. Step 2: Convert to fraction form
    691.37/953.76 = 396.47/x
  3. Step 3: Cross multiply
    691.37x = 953.76 × 396.47
  4. Step 4: Simplify right side
    691.37x = 378,137.23
  5. Step 5: Solve for x
    x = 378,137.23/691.37
  6. Step 6: Final answer
    x = 546.94

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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.