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Finding the Fourth Proportional to 902.83, 1,246.14 and 588.88

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Solution

The fourth proportional to 902.83, 1,246.14 and 588.88 is: 812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.83 : 1,246.14 = 588.88 : x
  2. Step 2: Convert to fraction form
    902.83/1,246.14 = 588.88/x
  3. Step 3: Cross multiply
    902.83x = 1,246.14 × 588.88
  4. Step 4: Simplify right side
    902.83x = 733,826.92
  5. Step 5: Solve for x
    x = 733,826.92/902.83
  6. Step 6: Final answer
    x = 812.81

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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.