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Finding the Fourth Proportional to 617.58, 926.46 and 292.86

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Solution

The fourth proportional to 617.58, 926.46 and 292.86 is: 439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.58 : 926.46 = 292.86 : x
  2. Step 2: Convert to fraction form
    617.58/926.46 = 292.86/x
  3. Step 3: Cross multiply
    617.58x = 926.46 × 292.86
  4. Step 4: Simplify right side
    617.58x = 271,323.08
  5. Step 5: Solve for x
    x = 271,323.08/617.58
  6. Step 6: Final answer
    x = 439.33

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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.