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Finding the Fourth Proportional to 528.07, 791.54 and 253.78

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Solution

The fourth proportional to 528.07, 791.54 and 253.78 is: 380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.07 : 791.54 = 253.78 : x
  2. Step 2: Convert to fraction form
    528.07/791.54 = 253.78/x
  3. Step 3: Cross multiply
    528.07x = 791.54 × 253.78
  4. Step 4: Simplify right side
    528.07x = 200,877.02
  5. Step 5: Solve for x
    x = 200,877.02/528.07
  6. Step 6: Final answer
    x = 380.40

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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.