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Finding the Fourth Proportional to 640.83, 884.52 and 454.35

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Solution

The fourth proportional to 640.83, 884.52 and 454.35 is: 627.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.83 : 884.52 = 454.35 : x
  2. Step 2: Convert to fraction form
    640.83/884.52 = 454.35/x
  3. Step 3: Cross multiply
    640.83x = 884.52 × 454.35
  4. Step 4: Simplify right side
    640.83x = 401,881.66
  5. Step 5: Solve for x
    x = 401,881.66/640.83
  6. Step 6: Final answer
    x = 627.13

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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.