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Finding the Fourth Proportional to 417.24, 621.63 and 396.59

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Solution

The fourth proportional to 417.24, 621.63 and 396.59 is: 590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.24 : 621.63 = 396.59 : x
  2. Step 2: Convert to fraction form
    417.24/621.63 = 396.59/x
  3. Step 3: Cross multiply
    417.24x = 621.63 × 396.59
  4. Step 4: Simplify right side
    417.24x = 246,529.13
  5. Step 5: Solve for x
    x = 246,529.13/417.24
  6. Step 6: Final answer
    x = 590.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.