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Finding the Fourth Proportional to 538.41, 741.54 and 464.70

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Solution

The fourth proportional to 538.41, 741.54 and 464.70 is: 640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.41 : 741.54 = 464.70 : x
  2. Step 2: Convert to fraction form
    538.41/741.54 = 464.70/x
  3. Step 3: Cross multiply
    538.41x = 741.54 × 464.70
  4. Step 4: Simplify right side
    538.41x = 344,591.31
  5. Step 5: Solve for x
    x = 344,591.31/538.41
  6. Step 6: Final answer
    x = 640.02

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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.