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Finding the Fourth Proportional to 575.42, 793.95 and 482.54

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Solution

The fourth proportional to 575.42, 793.95 and 482.54 is: 665.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.42 : 793.95 = 482.54 : x
  2. Step 2: Convert to fraction form
    575.42/793.95 = 482.54/x
  3. Step 3: Cross multiply
    575.42x = 793.95 × 482.54
  4. Step 4: Simplify right side
    575.42x = 383,112.63
  5. Step 5: Solve for x
    x = 383,112.63/575.42
  6. Step 6: Final answer
    x = 665.80

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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.