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Finding the Fourth Proportional to 538.41, 738.16 and 528.69

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Solution

The fourth proportional to 538.41, 738.16 and 528.69 is: 724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.41 : 738.16 = 528.69 : x
  2. Step 2: Convert to fraction form
    538.41/738.16 = 528.69/x
  3. Step 3: Cross multiply
    538.41x = 738.16 × 528.69
  4. Step 4: Simplify right side
    538.41x = 390,252.80
  5. Step 5: Solve for x
    x = 390,252.80/538.41
  6. Step 6: Final answer
    x = 724.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.