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Finding the Fourth Proportional to 611.83, 917.31 and 287.02

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Solution

The fourth proportional to 611.83, 917.31 and 287.02 is: 430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.83 : 917.31 = 287.02 : x
  2. Step 2: Convert to fraction form
    611.83/917.31 = 287.02/x
  3. Step 3: Cross multiply
    611.83x = 917.31 × 287.02
  4. Step 4: Simplify right side
    611.83x = 263,286.32
  5. Step 5: Solve for x
    x = 263,286.32/611.83
  6. Step 6: Final answer
    x = 430.33

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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.