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Finding the Fourth Proportional to 1,206.27, 1,663.74 and 875.79

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Solution

The fourth proportional to 1,206.27, 1,663.74 and 875.79 is: 1,207.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.27 : 1,663.74 = 875.79 : x
  2. Step 2: Convert to fraction form
    1,206.27/1,663.74 = 875.79/x
  3. Step 3: Cross multiply
    1,206.27x = 1,663.74 × 875.79
  4. Step 4: Simplify right side
    1,206.27x = 1,457,086.85
  5. Step 5: Solve for x
    x = 1,457,086.85/1,206.27
  6. Step 6: Final answer
    x = 1,207.93

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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.