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Finding the Fourth Proportional to 417.96, 623.34 and 404.46

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Solution

The fourth proportional to 417.96, 623.34 and 404.46 is: 603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.96 : 623.34 = 404.46 : x
  2. Step 2: Convert to fraction form
    417.96/623.34 = 404.46/x
  3. Step 3: Cross multiply
    417.96x = 623.34 × 404.46
  4. Step 4: Simplify right side
    417.96x = 252,116.10
  5. Step 5: Solve for x
    x = 252,116.10/417.96
  6. Step 6: Final answer
    x = 603.21

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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.