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Finding the Fourth Proportional to 538.66, 738.50 and 528.94

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Solution

The fourth proportional to 538.66, 738.50 and 528.94 is: 725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.66 : 738.50 = 528.94 : x
  2. Step 2: Convert to fraction form
    538.66/738.50 = 528.94/x
  3. Step 3: Cross multiply
    538.66x = 738.50 × 528.94
  4. Step 4: Simplify right side
    538.66x = 390,618.50
  5. Step 5: Solve for x
    x = 390,618.50/538.66
  6. Step 6: Final answer
    x = 725.17

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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.