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Finding the Fourth Proportional to 523.41, 784.43 and 392.39

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Solution

The fourth proportional to 523.41, 784.43 and 392.39 is: 588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.41 : 784.43 = 392.39 : x
  2. Step 2: Convert to fraction form
    523.41/784.43 = 392.39/x
  3. Step 3: Cross multiply
    523.41x = 784.43 × 392.39
  4. Step 4: Simplify right side
    523.41x = 307,796.60
  5. Step 5: Solve for x
    x = 307,796.60/523.41
  6. Step 6: Final answer
    x = 588.06

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1.5x scale

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.