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Finding the Fourth Proportional to 617.08, 851.64 and 355.12

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Solution

The fourth proportional to 617.08, 851.64 and 355.12 is: 490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.08 : 851.64 = 355.12 : x
  2. Step 2: Convert to fraction form
    617.08/851.64 = 355.12/x
  3. Step 3: Cross multiply
    617.08x = 851.64 × 355.12
  4. Step 4: Simplify right side
    617.08x = 302,434.40
  5. Step 5: Solve for x
    x = 302,434.40/617.08
  6. Step 6: Final answer
    x = 490.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.