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Finding the Fourth Proportional to 617.27, 924.93 and 454.19

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Solution

The fourth proportional to 617.27, 924.93 and 454.19 is: 680.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.27 : 924.93 = 454.19 : x
  2. Step 2: Convert to fraction form
    617.27/924.93 = 454.19/x
  3. Step 3: Cross multiply
    617.27x = 924.93 × 454.19
  4. Step 4: Simplify right side
    617.27x = 420,089.33
  5. Step 5: Solve for x
    x = 420,089.33/617.27
  6. Step 6: Final answer
    x = 680.57

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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.