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Finding the Fourth Proportional to 1,100.87, 1,651.37 and 666.71

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Solution

The fourth proportional to 1,100.87, 1,651.37 and 666.71 is: 1,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.87 : 1,651.37 = 666.71 : x
  2. Step 2: Convert to fraction form
    1,100.87/1,651.37 = 666.71/x
  3. Step 3: Cross multiply
    1,100.87x = 1,651.37 × 666.71
  4. Step 4: Simplify right side
    1,100.87x = 1,100,973.30
  5. Step 5: Solve for x
    x = 1,100,973.30/1,100.87
  6. Step 6: Final answer
    x = 1,000.10

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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.