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Finding the Fourth Proportional to 523.55, 784.49 and 425.58

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Solution

The fourth proportional to 523.55, 784.49 and 425.58 is: 637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.55 : 784.49 = 425.58 : x
  2. Step 2: Convert to fraction form
    523.55/784.49 = 425.58/x
  3. Step 3: Cross multiply
    523.55x = 784.49 × 425.58
  4. Step 4: Simplify right side
    523.55x = 333,859.33
  5. Step 5: Solve for x
    x = 333,859.33/523.55
  6. Step 6: Final answer
    x = 637.68

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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.