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Finding the Fourth Proportional to 414.19, 624.20 and 373.11

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Solution

The fourth proportional to 414.19, 624.20 and 373.11 is: 562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.19 : 624.20 = 373.11 : x
  2. Step 2: Convert to fraction form
    414.19/624.20 = 373.11/x
  3. Step 3: Cross multiply
    414.19x = 624.20 × 373.11
  4. Step 4: Simplify right side
    414.19x = 232,893.40
  5. Step 5: Solve for x
    x = 232,893.40/414.19
  6. Step 6: Final answer
    x = 562.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.