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Finding the Fourth Proportional to 538.59, 742.86 and 328.53

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Solution

The fourth proportional to 538.59, 742.86 and 328.53 is: 453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.59 : 742.86 = 328.53 : x
  2. Step 2: Convert to fraction form
    538.59/742.86 = 328.53/x
  3. Step 3: Cross multiply
    538.59x = 742.86 × 328.53
  4. Step 4: Simplify right side
    538.59x = 244,051.80
  5. Step 5: Solve for x
    x = 244,051.80/538.59
  6. Step 6: Final answer
    x = 453.13

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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.