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Finding the Fourth Proportional to 610.53, 842.86 and 421.75

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Solution

The fourth proportional to 610.53, 842.86 and 421.75 is: 582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.53 : 842.86 = 421.75 : x
  2. Step 2: Convert to fraction form
    610.53/842.86 = 421.75/x
  3. Step 3: Cross multiply
    610.53x = 842.86 × 421.75
  4. Step 4: Simplify right side
    610.53x = 355,476.21
  5. Step 5: Solve for x
    x = 355,476.21/610.53
  6. Step 6: Final answer
    x = 582.25

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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.