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Finding the Fourth Proportional to 501.45, 691.87 and 280.41

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Solution

The fourth proportional to 501.45, 691.87 and 280.41 is: 386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.45 : 691.87 = 280.41 : x
  2. Step 2: Convert to fraction form
    501.45/691.87 = 280.41/x
  3. Step 3: Cross multiply
    501.45x = 691.87 × 280.41
  4. Step 4: Simplify right side
    501.45x = 194,007.27
  5. Step 5: Solve for x
    x = 194,007.27/501.45
  6. Step 6: Final answer
    x = 386.89

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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.