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Finding the Fourth Proportional to 475.09, 652.13 and 421.46

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Solution

The fourth proportional to 475.09, 652.13 and 421.46 is: 578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.09 : 652.13 = 421.46 : x
  2. Step 2: Convert to fraction form
    475.09/652.13 = 421.46/x
  3. Step 3: Cross multiply
    475.09x = 652.13 × 421.46
  4. Step 4: Simplify right side
    475.09x = 274,847.31
  5. Step 5: Solve for x
    x = 274,847.31/475.09
  6. Step 6: Final answer
    x = 578.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.