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Finding the Fourth Proportional to 477.11, 713.57 and 415.35

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Solution

The fourth proportional to 477.11, 713.57 and 415.35 is: 621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.11 : 713.57 = 415.35 : x
  2. Step 2: Convert to fraction form
    477.11/713.57 = 415.35/x
  3. Step 3: Cross multiply
    477.11x = 713.57 × 415.35
  4. Step 4: Simplify right side
    477.11x = 296,375.65
  5. Step 5: Solve for x
    x = 296,375.65/477.11
  6. Step 6: Final answer
    x = 621.20

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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.