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Finding the Fourth Proportional to 1,587.89, 2,380.48 and 662.87

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Solution

The fourth proportional to 1,587.89, 2,380.48 and 662.87 is: 993.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.89 : 2,380.48 = 662.87 : x
  2. Step 2: Convert to fraction form
    1,587.89/2,380.48 = 662.87/x
  3. Step 3: Cross multiply
    1,587.89x = 2,380.48 × 662.87
  4. Step 4: Simplify right side
    1,587.89x = 1,577,935.22
  5. Step 5: Solve for x
    x = 1,577,935.22/1,587.89
  6. Step 6: Final answer
    x = 993.73

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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.