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Finding the Fourth Proportional to 523.74, 782.53 and 505.57

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Solution

The fourth proportional to 523.74, 782.53 and 505.57 is: 755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.74 : 782.53 = 505.57 : x
  2. Step 2: Convert to fraction form
    523.74/782.53 = 505.57/x
  3. Step 3: Cross multiply
    523.74x = 782.53 × 505.57
  4. Step 4: Simplify right side
    523.74x = 395,623.69
  5. Step 5: Solve for x
    x = 395,623.69/523.74
  6. Step 6: Final answer
    x = 755.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.