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Finding the Fourth Proportional to 538.12, 742.98 and 464.14

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Solution

The fourth proportional to 538.12, 742.98 and 464.14 is: 640.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.12 : 742.98 = 464.14 : x
  2. Step 2: Convert to fraction form
    538.12/742.98 = 464.14/x
  3. Step 3: Cross multiply
    538.12x = 742.98 × 464.14
  4. Step 4: Simplify right side
    538.12x = 344,846.74
  5. Step 5: Solve for x
    x = 344,846.74/538.12
  6. Step 6: Final answer
    x = 640.84

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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.