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Finding the Fourth Proportional to 575.57, 792.90 and 475.57

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Solution

The fourth proportional to 575.57, 792.90 and 475.57 is: 655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.57 : 792.90 = 475.57 : x
  2. Step 2: Convert to fraction form
    575.57/792.90 = 475.57/x
  3. Step 3: Cross multiply
    575.57x = 792.90 × 475.57
  4. Step 4: Simplify right side
    575.57x = 377,080.44
  5. Step 5: Solve for x
    x = 377,080.44/575.57
  6. Step 6: Final answer
    x = 655.14

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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.