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Finding the Fourth Proportional to 471.89, 706.21 and 402.86

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Solution

The fourth proportional to 471.89, 706.21 and 402.86 is: 602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.89 : 706.21 = 402.86 : x
  2. Step 2: Convert to fraction form
    471.89/706.21 = 402.86/x
  3. Step 3: Cross multiply
    471.89x = 706.21 × 402.86
  4. Step 4: Simplify right side
    471.89x = 284,499.22
  5. Step 5: Solve for x
    x = 284,499.22/471.89
  6. Step 6: Final answer
    x = 602.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.