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Finding the Fourth Proportional to 524.48, 721.20 and 466.16

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Solution

The fourth proportional to 524.48, 721.20 and 466.16 is: 641.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.48 : 721.20 = 466.16 : x
  2. Step 2: Convert to fraction form
    524.48/721.20 = 466.16/x
  3. Step 3: Cross multiply
    524.48x = 721.20 × 466.16
  4. Step 4: Simplify right side
    524.48x = 336,194.59
  5. Step 5: Solve for x
    x = 336,194.59/524.48
  6. Step 6: Final answer
    x = 641.01

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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.