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Finding the Fourth Proportional to 524.54, 786.77 and 319.06

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Solution

The fourth proportional to 524.54, 786.77 and 319.06 is: 478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.54 : 786.77 = 319.06 : x
  2. Step 2: Convert to fraction form
    524.54/786.77 = 319.06/x
  3. Step 3: Cross multiply
    524.54x = 786.77 × 319.06
  4. Step 4: Simplify right side
    524.54x = 251,021.31
  5. Step 5: Solve for x
    x = 251,021.31/524.54
  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.