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Finding the Fourth Proportional to 476.67, 715.01 and 411.06

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Solution

The fourth proportional to 476.67, 715.01 and 411.06 is: 616.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.67 : 715.01 = 411.06 : x
  2. Step 2: Convert to fraction form
    476.67/715.01 = 411.06/x
  3. Step 3: Cross multiply
    476.67x = 715.01 × 411.06
  4. Step 4: Simplify right side
    476.67x = 293,912.01
  5. Step 5: Solve for x
    x = 293,912.01/476.67
  6. Step 6: Final answer
    x = 616.59

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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.