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Finding the Fourth Proportional to 566.39, 850.39 and 420.59

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Solution

The fourth proportional to 566.39, 850.39 and 420.59 is: 631.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.39 : 850.39 = 420.59 : x
  2. Step 2: Convert to fraction form
    566.39/850.39 = 420.59/x
  3. Step 3: Cross multiply
    566.39x = 850.39 × 420.59
  4. Step 4: Simplify right side
    566.39x = 357,660.23
  5. Step 5: Solve for x
    x = 357,660.23/566.39
  6. Step 6: Final answer
    x = 631.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.