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Finding the Fourth Proportional to 607.25, 837.99 and 420.68

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Solution

The fourth proportional to 607.25, 837.99 and 420.68 is: 580.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.25 : 837.99 = 420.68 : x
  2. Step 2: Convert to fraction form
    607.25/837.99 = 420.68/x
  3. Step 3: Cross multiply
    607.25x = 837.99 × 420.68
  4. Step 4: Simplify right side
    607.25x = 352,521.44
  5. Step 5: Solve for x
    x = 352,521.44/607.25
  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.