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Finding the Fourth Proportional to 617.26, 926.10 and 328.50

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Solution

The fourth proportional to 617.26, 926.10 and 328.50 is: 492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.26 : 926.10 = 328.50 : x
  2. Step 2: Convert to fraction form
    617.26/926.10 = 328.50/x
  3. Step 3: Cross multiply
    617.26x = 926.10 × 328.50
  4. Step 4: Simplify right side
    617.26x = 304,223.85
  5. Step 5: Solve for x
    x = 304,223.85/617.26
  6. Step 6: Final answer
    x = 492.86

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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.