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Finding the Fourth Proportional to 617.10, 924.30 and 454.29

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Solution

The fourth proportional to 617.10, 924.30 and 454.29 is: 680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.10 : 924.30 = 454.29 : x
  2. Step 2: Convert to fraction form
    617.10/924.30 = 454.29/x
  3. Step 3: Cross multiply
    617.10x = 924.30 × 454.29
  4. Step 4: Simplify right side
    617.10x = 419,900.25
  5. Step 5: Solve for x
    x = 419,900.25/617.10
  6. Step 6: Final answer
    x = 680.44

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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.