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Finding the Fourth Proportional to 612.25, 917.96 and 287.71

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Solution

The fourth proportional to 612.25, 917.96 and 287.71 is: 431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.25 : 917.96 = 287.71 : x
  2. Step 2: Convert to fraction form
    612.25/917.96 = 287.71/x
  3. Step 3: Cross multiply
    612.25x = 917.96 × 287.71
  4. Step 4: Simplify right side
    612.25x = 264,106.27
  5. Step 5: Solve for x
    x = 264,106.27/612.25
  6. Step 6: Final answer
    x = 431.37

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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.