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Finding the Fourth Proportional to 611.93, 916.68 and 286.31

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Solution

The fourth proportional to 611.93, 916.68 and 286.31 is: 428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.93 : 916.68 = 286.31 : x
  2. Step 2: Convert to fraction form
    611.93/916.68 = 286.31/x
  3. Step 3: Cross multiply
    611.93x = 916.68 × 286.31
  4. Step 4: Simplify right side
    611.93x = 262,454.65
  5. Step 5: Solve for x
    x = 262,454.65/611.93
  6. Step 6: Final answer
    x = 428.90

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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.