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Finding the Fourth Proportional to 1,445.42, 2,167.98 and 665.18

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Solution

The fourth proportional to 1,445.42, 2,167.98 and 665.18 is: 997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.42 : 2,167.98 = 665.18 : x
  2. Step 2: Convert to fraction form
    1,445.42/2,167.98 = 665.18/x
  3. Step 3: Cross multiply
    1,445.42x = 2,167.98 × 665.18
  4. Step 4: Simplify right side
    1,445.42x = 1,442,096.94
  5. Step 5: Solve for x
    x = 1,442,096.94/1,445.42
  6. Step 6: Final answer
    x = 997.70

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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.