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Finding the Fourth Proportional to 524.49, 785.79 and 319.11

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Solution

The fourth proportional to 524.49, 785.79 and 319.11 is: 478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.49 : 785.79 = 319.11 : x
  2. Step 2: Convert to fraction form
    524.49/785.79 = 319.11/x
  3. Step 3: Cross multiply
    524.49x = 785.79 × 319.11
  4. Step 4: Simplify right side
    524.49x = 250,753.45
  5. Step 5: Solve for x
    x = 250,753.45/524.49
  6. Step 6: Final answer
    x = 478.09

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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.