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Finding the Fourth Proportional to 611.06, 916.99 and 286.45

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Solution

The fourth proportional to 611.06, 916.99 and 286.45 is: 429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.06 : 916.99 = 286.45 : x
  2. Step 2: Convert to fraction form
    611.06/916.99 = 286.45/x
  3. Step 3: Cross multiply
    611.06x = 916.99 × 286.45
  4. Step 4: Simplify right side
    611.06x = 262,668.78
  5. Step 5: Solve for x
    x = 262,668.78/611.06
  6. Step 6: Final answer
    x = 429.86

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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.