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Finding the Fourth Proportional to 611.60, 917.42 and 286.61

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Solution

The fourth proportional to 611.60, 917.42 and 286.61 is: 429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.60 : 917.42 = 286.61 : x
  2. Step 2: Convert to fraction form
    611.60/917.42 = 286.61/x
  3. Step 3: Cross multiply
    611.60x = 917.42 × 286.61
  4. Step 4: Simplify right side
    611.60x = 262,935.73
  5. Step 5: Solve for x
    x = 262,935.73/611.60
  6. Step 6: Final answer
    x = 429.92

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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.