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Finding the Fourth Proportional to 523.17, 783.72 and 393.31

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Solution

The fourth proportional to 523.17, 783.72 and 393.31 is: 589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.17 : 783.72 = 393.31 : x
  2. Step 2: Convert to fraction form
    523.17/783.72 = 393.31/x
  3. Step 3: Cross multiply
    523.17x = 783.72 × 393.31
  4. Step 4: Simplify right side
    523.17x = 308,244.91
  5. Step 5: Solve for x
    x = 308,244.91/523.17
  6. Step 6: Final answer
    x = 589.19

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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.