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Finding the Fourth Proportional to 475.15, 709.33 and 402.23

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Solution

The fourth proportional to 475.15, 709.33 and 402.23 is: 600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.15 : 709.33 = 402.23 : x
  2. Step 2: Convert to fraction form
    475.15/709.33 = 402.23/x
  3. Step 3: Cross multiply
    475.15x = 709.33 × 402.23
  4. Step 4: Simplify right side
    475.15x = 285,313.81
  5. Step 5: Solve for x
    x = 285,313.81/475.15
  6. Step 6: Final answer
    x = 600.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.