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Finding the Fourth Proportional to 429.51, 588.19 and 426.99

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Solution

The fourth proportional to 429.51, 588.19 and 426.99 is: 584.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.51 : 588.19 = 426.99 : x
  2. Step 2: Convert to fraction form
    429.51/588.19 = 426.99/x
  3. Step 3: Cross multiply
    429.51x = 588.19 × 426.99
  4. Step 4: Simplify right side
    429.51x = 251,150.18
  5. Step 5: Solve for x
    x = 251,150.18/429.51
  6. Step 6: Final answer
    x = 584.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.