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Finding the Fourth Proportional to 665.68, 997.68 and 377.28

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Solution

The fourth proportional to 665.68, 997.68 and 377.28 is: 565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.68 : 997.68 = 377.28 : x
  2. Step 2: Convert to fraction form
    665.68/997.68 = 377.28/x
  3. Step 3: Cross multiply
    665.68x = 997.68 × 377.28
  4. Step 4: Simplify right side
    665.68x = 376,404.71
  5. Step 5: Solve for x
    x = 376,404.71/665.68
  6. Step 6: Final answer
    x = 565.44

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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.