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Finding the Fourth Proportional to 612.06, 917.78 and 426.82

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Solution

The fourth proportional to 612.06, 917.78 and 426.82 is: 640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.06 : 917.78 = 426.82 : x
  2. Step 2: Convert to fraction form
    612.06/917.78 = 426.82/x
  3. Step 3: Cross multiply
    612.06x = 917.78 × 426.82
  4. Step 4: Simplify right side
    612.06x = 391,726.55
  5. Step 5: Solve for x
    x = 391,726.55/612.06
  6. Step 6: Final answer
    x = 640.02

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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.