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Finding the Fourth Proportional to 575.91, 795.12 and 379.74

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Solution

The fourth proportional to 575.91, 795.12 and 379.74 is: 524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.91 : 795.12 = 379.74 : x
  2. Step 2: Convert to fraction form
    575.91/795.12 = 379.74/x
  3. Step 3: Cross multiply
    575.91x = 795.12 × 379.74
  4. Step 4: Simplify right side
    575.91x = 301,938.87
  5. Step 5: Solve for x
    x = 301,938.87/575.91
  6. Step 6: Final answer
    x = 524.28

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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.