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Finding the Fourth Proportional to 470.22, 647.28 and 426.48

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Solution

The fourth proportional to 470.22, 647.28 and 426.48 is: 587.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.22 : 647.28 = 426.48 : x
  2. Step 2: Convert to fraction form
    470.22/647.28 = 426.48/x
  3. Step 3: Cross multiply
    470.22x = 647.28 × 426.48
  4. Step 4: Simplify right side
    470.22x = 276,051.97
  5. Step 5: Solve for x
    x = 276,051.97/470.22
  6. Step 6: Final answer
    x = 587.07

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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.