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Finding the Fourth Proportional to 1,487.25, 2,230.05 and 610.37

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Solution

The fourth proportional to 1,487.25, 2,230.05 and 610.37 is: 915.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.25 : 2,230.05 = 610.37 : x
  2. Step 2: Convert to fraction form
    1,487.25/2,230.05 = 610.37/x
  3. Step 3: Cross multiply
    1,487.25x = 2,230.05 × 610.37
  4. Step 4: Simplify right side
    1,487.25x = 1,361,155.62
  5. Step 5: Solve for x
    x = 1,361,155.62/1,487.25
  6. Step 6: Final answer
    x = 915.22

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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.