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Finding the Fourth Proportional to 664.27, 913.64 and 532.99

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Solution

The fourth proportional to 664.27, 913.64 and 532.99 is: 733.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.27 : 913.64 = 532.99 : x
  2. Step 2: Convert to fraction form
    664.27/913.64 = 532.99/x
  3. Step 3: Cross multiply
    664.27x = 913.64 × 532.99
  4. Step 4: Simplify right side
    664.27x = 486,960.98
  5. Step 5: Solve for x
    x = 486,960.98/664.27
  6. Step 6: Final answer
    x = 733.08

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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.