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Finding the Fourth Proportional to 476.02, 712.36 and 411.78

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Solution

The fourth proportional to 476.02, 712.36 and 411.78 is: 616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.02 : 712.36 = 411.78 : x
  2. Step 2: Convert to fraction form
    476.02/712.36 = 411.78/x
  3. Step 3: Cross multiply
    476.02x = 712.36 × 411.78
  4. Step 4: Simplify right side
    476.02x = 293,329.98
  5. Step 5: Solve for x
    x = 293,329.98/476.02
  6. Step 6: Final answer
    x = 616.21

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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.