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Finding the Fourth Proportional to 617.08, 926.85 and 386.38

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Solution

The fourth proportional to 617.08, 926.85 and 386.38 is: 580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.08 : 926.85 = 386.38 : x
  2. Step 2: Convert to fraction form
    617.08/926.85 = 386.38/x
  3. Step 3: Cross multiply
    617.08x = 926.85 × 386.38
  4. Step 4: Simplify right side
    617.08x = 358,116.30
  5. Step 5: Solve for x
    x = 358,116.30/617.08
  6. Step 6: Final answer
    x = 580.34

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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.