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Finding the Fourth Proportional to 538.40, 733.52 and 538.40

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Solution

The fourth proportional to 538.40, 733.52 and 538.40 is: 733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.40 : 733.52 = 538.40 : x
  2. Step 2: Convert to fraction form
    538.40/733.52 = 538.40/x
  3. Step 3: Cross multiply
    538.40x = 733.52 × 538.40
  4. Step 4: Simplify right side
    538.40x = 394,927.17
  5. Step 5: Solve for x
    x = 394,927.17/538.40
  6. Step 6: Final answer
    x = 733.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.