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Finding the Fourth Proportional to 611.22, 916.92 and 286.68

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Solution

The fourth proportional to 611.22, 916.92 and 286.68 is: 430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.22 : 916.92 = 286.68 : x
  2. Step 2: Convert to fraction form
    611.22/916.92 = 286.68/x
  3. Step 3: Cross multiply
    611.22x = 916.92 × 286.68
  4. Step 4: Simplify right side
    611.22x = 262,862.63
  5. Step 5: Solve for x
    x = 262,862.63/611.22
  6. Step 6: Final answer
    x = 430.06

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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.