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Finding the Fourth Proportional to 531.28, 795.23 and 523.99

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Solution

The fourth proportional to 531.28, 795.23 and 523.99 is: 784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.28 : 795.23 = 523.99 : x
  2. Step 2: Convert to fraction form
    531.28/795.23 = 523.99/x
  3. Step 3: Cross multiply
    531.28x = 795.23 × 523.99
  4. Step 4: Simplify right side
    531.28x = 416,685.97
  5. Step 5: Solve for x
    x = 416,685.97/531.28
  6. Step 6: Final answer
    x = 784.31

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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.