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Finding the Fourth Proportional to 643.66, 888.24 and 524.62

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Solution

The fourth proportional to 643.66, 888.24 and 524.62 is: 723.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.66 : 888.24 = 524.62 : x
  2. Step 2: Convert to fraction form
    643.66/888.24 = 524.62/x
  3. Step 3: Cross multiply
    643.66x = 888.24 × 524.62
  4. Step 4: Simplify right side
    643.66x = 465,988.47
  5. Step 5: Solve for x
    x = 465,988.47/643.66
  6. Step 6: Final answer
    x = 723.97

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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.