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Finding the Fourth Proportional to 1,487.88, 2,232.09 and 666.14

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Solution

The fourth proportional to 1,487.88, 2,232.09 and 666.14 is: 999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.88 : 2,232.09 = 666.14 : x
  2. Step 2: Convert to fraction form
    1,487.88/2,232.09 = 666.14/x
  3. Step 3: Cross multiply
    1,487.88x = 2,232.09 × 666.14
  4. Step 4: Simplify right side
    1,487.88x = 1,486,873.27
  5. Step 5: Solve for x
    x = 1,486,873.27/1,487.88
  6. Step 6: Final answer
    x = 999.32

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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.