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Finding the Fourth Proportional to 611.74, 917.61 and 287.13

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Solution

The fourth proportional to 611.74, 917.61 and 287.13 is: 430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.74 : 917.61 = 287.13 : x
  2. Step 2: Convert to fraction form
    611.74/917.61 = 287.13/x
  3. Step 3: Cross multiply
    611.74x = 917.61 × 287.13
  4. Step 4: Simplify right side
    611.74x = 263,473.36
  5. Step 5: Solve for x
    x = 263,473.36/611.74
  6. Step 6: Final answer
    x = 430.70

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Similar ratio
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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.