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Finding the Fourth Proportional to 524.24, 720.80 and 462.16

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Solution

The fourth proportional to 524.24, 720.80 and 462.16 is: 635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.24 : 720.80 = 462.16 : x
  2. Step 2: Convert to fraction form
    524.24/720.80 = 462.16/x
  3. Step 3: Cross multiply
    524.24x = 720.80 × 462.16
  4. Step 4: Simplify right side
    524.24x = 333,124.93
  5. Step 5: Solve for x
    x = 333,124.93/524.24
  6. Step 6: Final answer
    x = 635.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.