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Finding the Fourth Proportional to 643.43, 968.78 and 566.89

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Solution

The fourth proportional to 643.43, 968.78 and 566.89 is: 853.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.43 : 968.78 = 566.89 : x
  2. Step 2: Convert to fraction form
    643.43/968.78 = 566.89/x
  3. Step 3: Cross multiply
    643.43x = 968.78 × 566.89
  4. Step 4: Simplify right side
    643.43x = 549,190.69
  5. Step 5: Solve for x
    x = 549,190.69/643.43
  6. Step 6: Final answer
    x = 853.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.