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Finding the Fourth Proportional to 475.26, 659.21 and 455.10

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Solution

The fourth proportional to 475.26, 659.21 and 455.10 is: 631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.26 : 659.21 = 455.10 : x
  2. Step 2: Convert to fraction form
    475.26/659.21 = 455.10/x
  3. Step 3: Cross multiply
    475.26x = 659.21 × 455.10
  4. Step 4: Simplify right side
    475.26x = 300,004.20
  5. Step 5: Solve for x
    x = 300,004.20/475.26
  6. Step 6: Final answer
    x = 631.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.