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Finding the Fourth Proportional to 643.01, 968.36 and 562.82

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Solution

The fourth proportional to 643.01, 968.36 and 562.82 is: 847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.01 : 968.36 = 562.82 : x
  2. Step 2: Convert to fraction form
    643.01/968.36 = 562.82/x
  3. Step 3: Cross multiply
    643.01x = 968.36 × 562.82
  4. Step 4: Simplify right side
    643.01x = 545,004.72
  5. Step 5: Solve for x
    x = 545,004.72/643.01
  6. Step 6: Final answer
    x = 847.59

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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.