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Finding the Fourth Proportional to 611.47, 917.61 and 282.21

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Solution

The fourth proportional to 611.47, 917.61 and 282.21 is: 423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.47 : 917.61 = 282.21 : x
  2. Step 2: Convert to fraction form
    611.47/917.61 = 282.21/x
  3. Step 3: Cross multiply
    611.47x = 917.61 × 282.21
  4. Step 4: Simplify right side
    611.47x = 258,958.72
  5. Step 5: Solve for x
    x = 258,958.72/611.47
  6. Step 6: Final answer
    x = 423.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.