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Finding the Fourth Proportional to 609.12, 914.40 and 426

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Solution

The fourth proportional to 609.12, 914.40 and 426 is: 639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.12 : 914.40 = 426 : x
  2. Step 2: Convert to fraction form
    609.12/914.40 = 426/x
  3. Step 3: Cross multiply
    609.12x = 914.40 × 426
  4. Step 4: Simplify right side
    609.12x = 389,534.40
  5. Step 5: Solve for x
    x = 389,534.40/609.12
  6. Step 6: Final answer
    x = 639.50

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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.