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Finding the Fourth Proportional to 532.71, 797.84 and 523.80

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Solution

The fourth proportional to 532.71, 797.84 and 523.80 is: 784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.71 : 797.84 = 523.80 : x
  2. Step 2: Convert to fraction form
    532.71/797.84 = 523.80/x
  3. Step 3: Cross multiply
    532.71x = 797.84 × 523.80
  4. Step 4: Simplify right side
    532.71x = 417,905.97
  5. Step 5: Solve for x
    x = 417,905.97/532.71
  6. Step 6: Final answer
    x = 784.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.