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Finding the Fourth Proportional to 902.56, 1,246.08 and 588.12

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Solution

The fourth proportional to 902.56, 1,246.08 and 588.12 is: 811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.56 : 1,246.08 = 588.12 : x
  2. Step 2: Convert to fraction form
    902.56/1,246.08 = 588.12/x
  3. Step 3: Cross multiply
    902.56x = 1,246.08 × 588.12
  4. Step 4: Simplify right side
    902.56x = 732,844.57
  5. Step 5: Solve for x
    x = 732,844.57/902.56
  6. Step 6: Final answer
    x = 811.96

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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.