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Finding the Fourth Proportional to 1,657.56, 2,487.38 and 964.54

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Solution

The fourth proportional to 1,657.56, 2,487.38 and 964.54 is: 1,447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.56 : 2,487.38 = 964.54 : x
  2. Step 2: Convert to fraction form
    1,657.56/2,487.38 = 964.54/x
  3. Step 3: Cross multiply
    1,657.56x = 2,487.38 × 964.54
  4. Step 4: Simplify right side
    1,657.56x = 2,399,175.79
  5. Step 5: Solve for x
    x = 2,399,175.79/1,657.56
  6. Step 6: Final answer
    x = 1,447.41

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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.