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Finding the Fourth Proportional to 665.84, 997.89 and 275.40

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Solution

The fourth proportional to 665.84, 997.89 and 275.40 is: 412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.84 : 997.89 = 275.40 : x
  2. Step 2: Convert to fraction form
    665.84/997.89 = 275.40/x
  3. Step 3: Cross multiply
    665.84x = 997.89 × 275.40
  4. Step 4: Simplify right side
    665.84x = 274,818.91
  5. Step 5: Solve for x
    x = 274,818.91/665.84
  6. Step 6: Final answer
    x = 412.74

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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.