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Finding the Fourth Proportional to 1,209.32, 1,667.09 and 854.13

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Solution

The fourth proportional to 1,209.32, 1,667.09 and 854.13 is: 1,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.32 : 1,667.09 = 854.13 : x
  2. Step 2: Convert to fraction form
    1,209.32/1,667.09 = 854.13/x
  3. Step 3: Cross multiply
    1,209.32x = 1,667.09 × 854.13
  4. Step 4: Simplify right side
    1,209.32x = 1,423,911.58
  5. Step 5: Solve for x
    x = 1,423,911.58/1,209.32
  6. Step 6: Final answer
    x = 1,177.45

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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.