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Finding the Fourth Proportional to 419.22, 625.86 and 384.66

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Solution

The fourth proportional to 419.22, 625.86 and 384.66 is: 574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.22 : 625.86 = 384.66 : x
  2. Step 2: Convert to fraction form
    419.22/625.86 = 384.66/x
  3. Step 3: Cross multiply
    419.22x = 625.86 × 384.66
  4. Step 4: Simplify right side
    419.22x = 240,743.31
  5. Step 5: Solve for x
    x = 240,743.31/419.22
  6. Step 6: Final answer
    x = 574.26

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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.