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Finding the Fourth Proportional to 611.90, 917.03 and 286.68

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Solution

The fourth proportional to 611.90, 917.03 and 286.68 is: 429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.90 : 917.03 = 286.68 : x
  2. Step 2: Convert to fraction form
    611.90/917.03 = 286.68/x
  3. Step 3: Cross multiply
    611.90x = 917.03 × 286.68
  4. Step 4: Simplify right side
    611.90x = 262,894.88
  5. Step 5: Solve for x
    x = 262,894.88/611.90
  6. Step 6: Final answer
    x = 429.64

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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.