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Finding the Fourth Proportional to 611.38, 916.75 and 286.48

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Solution

The fourth proportional to 611.38, 916.75 and 286.48 is: 429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.38 : 916.75 = 286.48 : x
  2. Step 2: Convert to fraction form
    611.38/916.75 = 286.48/x
  3. Step 3: Cross multiply
    611.38x = 916.75 × 286.48
  4. Step 4: Simplify right side
    611.38x = 262,630.54
  5. Step 5: Solve for x
    x = 262,630.54/611.38
  6. Step 6: Final answer
    x = 429.57

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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.