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Finding the Fourth Proportional to 1,447.01, 2,169.36 and 624.70

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Solution

The fourth proportional to 1,447.01, 2,169.36 and 624.70 is: 936.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.01 : 2,169.36 = 624.70 : x
  2. Step 2: Convert to fraction form
    1,447.01/2,169.36 = 624.70/x
  3. Step 3: Cross multiply
    1,447.01x = 2,169.36 × 624.70
  4. Step 4: Simplify right side
    1,447.01x = 1,355,208.38
  5. Step 5: Solve for x
    x = 1,355,208.38/1,447.01
  6. Step 6: Final answer
    x = 936.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.