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Finding the Fourth Proportional to 1,208.74, 1,667.64 and 711.04

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Solution

The fourth proportional to 1,208.74, 1,667.64 and 711.04 is: 980.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.74 : 1,667.64 = 711.04 : x
  2. Step 2: Convert to fraction form
    1,208.74/1,667.64 = 711.04/x
  3. Step 3: Cross multiply
    1,208.74x = 1,667.64 × 711.04
  4. Step 4: Simplify right side
    1,208.74x = 1,185,758.75
  5. Step 5: Solve for x
    x = 1,185,758.75/1,208.74
  6. Step 6: Final answer
    x = 980.99

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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.