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Finding the Fourth Proportional to 611.44, 916.55 and 286.22

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Solution

The fourth proportional to 611.44, 916.55 and 286.22 is: 429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.44 : 916.55 = 286.22 : x
  2. Step 2: Convert to fraction form
    611.44/916.55 = 286.22/x
  3. Step 3: Cross multiply
    611.44x = 916.55 × 286.22
  4. Step 4: Simplify right side
    611.44x = 262,336.87
  5. Step 5: Solve for x
    x = 262,336.87/611.44
  6. Step 6: Final answer
    x = 429.05

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Double scale
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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.