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Finding the Fourth Proportional to 673.91, 1,009.80 and 490.44

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Solution

The fourth proportional to 673.91, 1,009.80 and 490.44 is: 734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.91 : 1,009.80 = 490.44 : x
  2. Step 2: Convert to fraction form
    673.91/1,009.80 = 490.44/x
  3. Step 3: Cross multiply
    673.91x = 1,009.80 × 490.44
  4. Step 4: Simplify right side
    673.91x = 495,246.31
  5. Step 5: Solve for x
    x = 495,246.31/673.91
  6. Step 6: Final answer
    x = 734.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.