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Finding the Fourth Proportional to 1,447.36, 2,171.04 and 624.82

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Solution

The fourth proportional to 1,447.36, 2,171.04 and 624.82 is: 937.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.36 : 2,171.04 = 624.82 : x
  2. Step 2: Convert to fraction form
    1,447.36/2,171.04 = 624.82/x
  3. Step 3: Cross multiply
    1,447.36x = 2,171.04 × 624.82
  4. Step 4: Simplify right side
    1,447.36x = 1,356,509.21
  5. Step 5: Solve for x
    x = 1,356,509.21/1,447.36
  6. Step 6: Final answer
    x = 937.23

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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.