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Finding the Fourth Proportional to 470.22, 708.46 and 426.92

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Solution

The fourth proportional to 470.22, 708.46 and 426.92 is: 643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.22 : 708.46 = 426.92 : x
  2. Step 2: Convert to fraction form
    470.22/708.46 = 426.92/x
  3. Step 3: Cross multiply
    470.22x = 708.46 × 426.92
  4. Step 4: Simplify right side
    470.22x = 302,455.74
  5. Step 5: Solve for x
    x = 302,455.74/470.22
  6. Step 6: Final answer
    x = 643.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.