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Finding the Fourth Proportional to 577.52, 793.52 and 552.08

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Solution

The fourth proportional to 577.52, 793.52 and 552.08 is: 758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.52 : 793.52 = 552.08 : x
  2. Step 2: Convert to fraction form
    577.52/793.52 = 552.08/x
  3. Step 3: Cross multiply
    577.52x = 793.52 × 552.08
  4. Step 4: Simplify right side
    577.52x = 438,086.52
  5. Step 5: Solve for x
    x = 438,086.52/577.52
  6. Step 6: Final answer
    x = 758.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.