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Finding the Fourth Proportional to 501.59, 752.09 and 371.79

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Solution

The fourth proportional to 501.59, 752.09 and 371.79 is: 557.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.59 : 752.09 = 371.79 : x
  2. Step 2: Convert to fraction form
    501.59/752.09 = 371.79/x
  3. Step 3: Cross multiply
    501.59x = 752.09 × 371.79
  4. Step 4: Simplify right side
    501.59x = 279,617.68
  5. Step 5: Solve for x
    x = 279,617.68/501.59
  6. Step 6: Final answer
    x = 557.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.