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Finding the Fourth Proportional to 1,225.96, 1,691.78 and 666.42

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Solution

The fourth proportional to 1,225.96, 1,691.78 and 666.42 is: 919.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.96 : 1,691.78 = 666.42 : x
  2. Step 2: Convert to fraction form
    1,225.96/1,691.78 = 666.42/x
  3. Step 3: Cross multiply
    1,225.96x = 1,691.78 × 666.42
  4. Step 4: Simplify right side
    1,225.96x = 1,127,436.03
  5. Step 5: Solve for x
    x = 1,127,436.03/1,225.96
  6. Step 6: Final answer
    x = 919.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.