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Finding the Fourth Proportional to 528.78, 791.19 and 501

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Solution

The fourth proportional to 528.78, 791.19 and 501 is: 749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.78 : 791.19 = 501 : x
  2. Step 2: Convert to fraction form
    528.78/791.19 = 501/x
  3. Step 3: Cross multiply
    528.78x = 791.19 × 501
  4. Step 4: Simplify right side
    528.78x = 396,386.19
  5. Step 5: Solve for x
    x = 396,386.19/528.78
  6. Step 6: Final answer
    x = 749.62

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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.