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Finding the Fourth Proportional to 524.29, 786.21 and 264.13

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Solution

The fourth proportional to 524.29, 786.21 and 264.13 is: 396.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.29 : 786.21 = 264.13 : x
  2. Step 2: Convert to fraction form
    524.29/786.21 = 264.13/x
  3. Step 3: Cross multiply
    524.29x = 786.21 × 264.13
  4. Step 4: Simplify right side
    524.29x = 207,661.65
  5. Step 5: Solve for x
    x = 207,661.65/524.29
  6. Step 6: Final answer
    x = 396.08

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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.