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Finding the Fourth Proportional to 524.48, 786.83 and 264.51

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Solution

The fourth proportional to 524.48, 786.83 and 264.51 is: 396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.48 : 786.83 = 264.51 : x
  2. Step 2: Convert to fraction form
    524.48/786.83 = 264.51/x
  3. Step 3: Cross multiply
    524.48x = 786.83 × 264.51
  4. Step 4: Simplify right side
    524.48x = 208,123.08
  5. Step 5: Solve for x
    x = 208,123.08/524.48
  6. Step 6: Final answer
    x = 396.82

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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.