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Finding the Fourth Proportional to 426.12, 588.06 and 406.68

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Solution

The fourth proportional to 426.12, 588.06 and 406.68 is: 561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.12 : 588.06 = 406.68 : x
  2. Step 2: Convert to fraction form
    426.12/588.06 = 406.68/x
  3. Step 3: Cross multiply
    426.12x = 588.06 × 406.68
  4. Step 4: Simplify right side
    426.12x = 239,152.24
  5. Step 5: Solve for x
    x = 239,152.24/426.12
  6. Step 6: Final answer
    x = 561.23

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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.