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Finding the Fourth Proportional to 1,207.34, 1,667.31 and 1,031.66

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Solution

The fourth proportional to 1,207.34, 1,667.31 and 1,031.66 is: 1,424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.34 : 1,667.31 = 1,031.66 : x
  2. Step 2: Convert to fraction form
    1,207.34/1,667.31 = 1,031.66/x
  3. Step 3: Cross multiply
    1,207.34x = 1,667.31 × 1,031.66
  4. Step 4: Simplify right side
    1,207.34x = 1,720,097.03
  5. Step 5: Solve for x
    x = 1,720,097.03/1,207.34
  6. Step 6: Final answer
    x = 1,424.70

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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.