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Finding the Fourth Proportional to 538.66, 744.02 and 464.95

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Solution

The fourth proportional to 538.66, 744.02 and 464.95 is: 642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.66 : 744.02 = 464.95 : x
  2. Step 2: Convert to fraction form
    538.66/744.02 = 464.95/x
  3. Step 3: Cross multiply
    538.66x = 744.02 × 464.95
  4. Step 4: Simplify right side
    538.66x = 345,932.10
  5. Step 5: Solve for x
    x = 345,932.10/538.66
  6. Step 6: Final answer
    x = 642.21

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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.