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Finding the Fourth Proportional to 575.78, 793.46 and 538.72

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Solution

The fourth proportional to 575.78, 793.46 and 538.72 is: 742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.78 : 793.46 = 538.72 : x
  2. Step 2: Convert to fraction form
    575.78/793.46 = 538.72/x
  3. Step 3: Cross multiply
    575.78x = 793.46 × 538.72
  4. Step 4: Simplify right side
    575.78x = 427,452.13
  5. Step 5: Solve for x
    x = 427,452.13/575.78
  6. Step 6: Final answer
    x = 742.39

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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.