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Finding the Fourth Proportional to 997.21, 1,496 and 347.77

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Solution

The fourth proportional to 997.21, 1,496 and 347.77 is: 521.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.21 : 1,496 = 347.77 : x
  2. Step 2: Convert to fraction form
    997.21/1,496 = 347.77/x
  3. Step 3: Cross multiply
    997.21x = 1,496 × 347.77
  4. Step 4: Simplify right side
    997.21x = 520,263.92
  5. Step 5: Solve for x
    x = 520,263.92/997.21
  6. Step 6: Final answer
    x = 521.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.