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Finding the Fourth Proportional to 470.22, 702.32 and 426.21

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Solution

The fourth proportional to 470.22, 702.32 and 426.21 is: 636.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.22 : 702.32 = 426.21 : x
  2. Step 2: Convert to fraction form
    470.22/702.32 = 426.21/x
  3. Step 3: Cross multiply
    470.22x = 702.32 × 426.21
  4. Step 4: Simplify right side
    470.22x = 299,335.81
  5. Step 5: Solve for x
    x = 299,335.81/470.22
  6. Step 6: Final answer
    x = 636.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.