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Finding the Fourth Proportional to 524.57, 786.38 and 319.23

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Solution

The fourth proportional to 524.57, 786.38 and 319.23 is: 478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.57 : 786.38 = 319.23 : x
  2. Step 2: Convert to fraction form
    524.57/786.38 = 319.23/x
  3. Step 3: Cross multiply
    524.57x = 786.38 × 319.23
  4. Step 4: Simplify right side
    524.57x = 251,034.49
  5. Step 5: Solve for x
    x = 251,034.49/524.57
  6. Step 6: Final answer
    x = 478.56

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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.