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Finding the Fourth Proportional to 426.10, 588.50 and 420.33

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Solution

The fourth proportional to 426.10, 588.50 and 420.33 is: 580.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.10 : 588.50 = 420.33 : x
  2. Step 2: Convert to fraction form
    426.10/588.50 = 420.33/x
  3. Step 3: Cross multiply
    426.10x = 588.50 × 420.33
  4. Step 4: Simplify right side
    426.10x = 247,364.59
  5. Step 5: Solve for x
    x = 247,364.59/426.10
  6. Step 6: Final answer
    x = 580.53

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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.