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Finding the Fourth Proportional to 902.91, 1,246.01 and 488.91

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Solution

The fourth proportional to 902.91, 1,246.01 and 488.91 is: 674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.91 : 1,246.01 = 488.91 : x
  2. Step 2: Convert to fraction form
    902.91/1,246.01 = 488.91/x
  3. Step 3: Cross multiply
    902.91x = 1,246.01 × 488.91
  4. Step 4: Simplify right side
    902.91x = 609,184.30
  5. Step 5: Solve for x
    x = 609,184.30/902.91
  6. Step 6: Final answer
    x = 674.69

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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.