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Finding the Fourth Proportional to 945.50, 1,418.62 and 425.14

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Solution

The fourth proportional to 945.50, 1,418.62 and 425.14 is: 637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.50 : 1,418.62 = 425.14 : x
  2. Step 2: Convert to fraction form
    945.50/1,418.62 = 425.14/x
  3. Step 3: Cross multiply
    945.50x = 1,418.62 × 425.14
  4. Step 4: Simplify right side
    945.50x = 603,112.11
  5. Step 5: Solve for x
    x = 603,112.11/945.50
  6. Step 6: Final answer
    x = 637.88

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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.