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Finding the Fourth Proportional to 493.47, 681.03 and 375.21

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Solution

The fourth proportional to 493.47, 681.03 and 375.21 is: 517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.47 : 681.03 = 375.21 : x
  2. Step 2: Convert to fraction form
    493.47/681.03 = 375.21/x
  3. Step 3: Cross multiply
    493.47x = 681.03 × 375.21
  4. Step 4: Simplify right side
    493.47x = 255,529.27
  5. Step 5: Solve for x
    x = 255,529.27/493.47
  6. Step 6: Final answer
    x = 517.82

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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.