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Finding the Fourth Proportional to 473.78, 706.42 and 426.59

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Solution

The fourth proportional to 473.78, 706.42 and 426.59 is: 636.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.78 : 706.42 = 426.59 : x
  2. Step 2: Convert to fraction form
    473.78/706.42 = 426.59/x
  3. Step 3: Cross multiply
    473.78x = 706.42 × 426.59
  4. Step 4: Simplify right side
    473.78x = 301,347.11
  5. Step 5: Solve for x
    x = 301,347.11/473.78
  6. Step 6: Final answer
    x = 636.06

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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.