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Finding the Fourth Proportional to 616.90, 926.70 and 455.62

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Solution

The fourth proportional to 616.90, 926.70 and 455.62 is: 684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.90 : 926.70 = 455.62 : x
  2. Step 2: Convert to fraction form
    616.90/926.70 = 455.62/x
  3. Step 3: Cross multiply
    616.90x = 926.70 × 455.62
  4. Step 4: Simplify right side
    616.90x = 422,223.05
  5. Step 5: Solve for x
    x = 422,223.05/616.90
  6. Step 6: Final answer
    x = 684.43

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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.