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Finding the Fourth Proportional to 640.50, 884.07 and 567.06

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Solution

The fourth proportional to 640.50, 884.07 and 567.06 is: 782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.50 : 884.07 = 567.06 : x
  2. Step 2: Convert to fraction form
    640.50/884.07 = 567.06/x
  3. Step 3: Cross multiply
    640.50x = 884.07 × 567.06
  4. Step 4: Simplify right side
    640.50x = 501,320.73
  5. Step 5: Solve for x
    x = 501,320.73/640.50
  6. Step 6: Final answer
    x = 782.70

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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.