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Finding the Fourth Proportional to 414.69, 624.95 and 373.61

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Solution

The fourth proportional to 414.69, 624.95 and 373.61 is: 563.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.69 : 624.95 = 373.61 : x
  2. Step 2: Convert to fraction form
    414.69/624.95 = 373.61/x
  3. Step 3: Cross multiply
    414.69x = 624.95 × 373.61
  4. Step 4: Simplify right side
    414.69x = 233,487.57
  5. Step 5: Solve for x
    x = 233,487.57/414.69
  6. Step 6: Final answer
    x = 563.04

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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.