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Finding the Fourth Proportional to 914.33, 1,369.46 and 425.90

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Solution

The fourth proportional to 914.33, 1,369.46 and 425.90 is: 637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.33 : 1,369.46 = 425.90 : x
  2. Step 2: Convert to fraction form
    914.33/1,369.46 = 425.90/x
  3. Step 3: Cross multiply
    914.33x = 1,369.46 × 425.90
  4. Step 4: Simplify right side
    914.33x = 583,257.50
  5. Step 5: Solve for x
    x = 583,257.50/914.33
  6. Step 6: Final answer
    x = 637.91

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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.