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Finding the Fourth Proportional to 524.52, 722.34 and 475.56

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Solution

The fourth proportional to 524.52, 722.34 and 475.56 is: 654.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.52 : 722.34 = 475.56 : x
  2. Step 2: Convert to fraction form
    524.52/722.34 = 475.56/x
  3. Step 3: Cross multiply
    524.52x = 722.34 × 475.56
  4. Step 4: Simplify right side
    524.52x = 343,516.01
  5. Step 5: Solve for x
    x = 343,516.01/524.52
  6. Step 6: Final answer
    x = 654.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.