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Finding the Fourth Proportional to 475.02, 711.78 and 409.80

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Solution

The fourth proportional to 475.02, 711.78 and 409.80 is: 614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.02 : 711.78 = 409.80 : x
  2. Step 2: Convert to fraction form
    475.02/711.78 = 409.80/x
  3. Step 3: Cross multiply
    475.02x = 711.78 × 409.80
  4. Step 4: Simplify right side
    475.02x = 291,687.44
  5. Step 5: Solve for x
    x = 291,687.44/475.02
  6. Step 6: Final answer
    x = 614.05

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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.