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Finding the Fourth Proportional to 475.77, 655.92 and 356.03

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Solution

The fourth proportional to 475.77, 655.92 and 356.03 is: 490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.77 : 655.92 = 356.03 : x
  2. Step 2: Convert to fraction form
    475.77/655.92 = 356.03/x
  3. Step 3: Cross multiply
    475.77x = 655.92 × 356.03
  4. Step 4: Simplify right side
    475.77x = 233,527.20
  5. Step 5: Solve for x
    x = 233,527.20/475.77
  6. Step 6: Final answer
    x = 490.84

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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.