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Finding the Fourth Proportional to 1,207.07, 1,665.50 and 908.63

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Solution

The fourth proportional to 1,207.07, 1,665.50 and 908.63 is: 1,253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.07 : 1,665.50 = 908.63 : x
  2. Step 2: Convert to fraction form
    1,207.07/1,665.50 = 908.63/x
  3. Step 3: Cross multiply
    1,207.07x = 1,665.50 × 908.63
  4. Step 4: Simplify right side
    1,207.07x = 1,513,318.72
  5. Step 5: Solve for x
    x = 1,513,318.72/1,207.07
  6. Step 6: Final answer
    x = 1,253.71

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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.