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Finding the Fourth Proportional to 490.52, 673.30 and 469.40

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Solution

The fourth proportional to 490.52, 673.30 and 469.40 is: 644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.52 : 673.30 = 469.40 : x
  2. Step 2: Convert to fraction form
    490.52/673.30 = 469.40/x
  3. Step 3: Cross multiply
    490.52x = 673.30 × 469.40
  4. Step 4: Simplify right side
    490.52x = 316,047.02
  5. Step 5: Solve for x
    x = 316,047.02/490.52
  6. Step 6: Final answer
    x = 644.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.