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Finding the Fourth Proportional to 1,487.44, 2,230.67 and 447.24

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Solution

The fourth proportional to 1,487.44, 2,230.67 and 447.24 is: 670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.44 : 2,230.67 = 447.24 : x
  2. Step 2: Convert to fraction form
    1,487.44/2,230.67 = 447.24/x
  3. Step 3: Cross multiply
    1,487.44x = 2,230.67 × 447.24
  4. Step 4: Simplify right side
    1,487.44x = 997,654.33
  5. Step 5: Solve for x
    x = 997,654.33/1,487.44
  6. Step 6: Final answer
    x = 670.72

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1.5x scale

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.