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Finding the Fourth Proportional to 475.18, 711.23 and 409.57

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Solution

The fourth proportional to 475.18, 711.23 and 409.57 is: 613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.18 : 711.23 = 409.57 : x
  2. Step 2: Convert to fraction form
    475.18/711.23 = 409.57/x
  3. Step 3: Cross multiply
    475.18x = 711.23 × 409.57
  4. Step 4: Simplify right side
    475.18x = 291,292.87
  5. Step 5: Solve for x
    x = 291,292.87/475.18
  6. Step 6: Final answer
    x = 613.02

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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.