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Finding the Fourth Proportional to 407.91, 566.58 and 396.39

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Solution

The fourth proportional to 407.91, 566.58 and 396.39 is: 550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.91 : 566.58 = 396.39 : x
  2. Step 2: Convert to fraction form
    407.91/566.58 = 396.39/x
  3. Step 3: Cross multiply
    407.91x = 566.58 × 396.39
  4. Step 4: Simplify right side
    407.91x = 224,586.65
  5. Step 5: Solve for x
    x = 224,586.65/407.91
  6. Step 6: Final answer
    x = 550.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.