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Finding the Fourth Proportional to 1,447.34, 2,169.72 and 522.69

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Solution

The fourth proportional to 1,447.34, 2,169.72 and 522.69 is: 783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.34 : 2,169.72 = 522.69 : x
  2. Step 2: Convert to fraction form
    1,447.34/2,169.72 = 522.69/x
  3. Step 3: Cross multiply
    1,447.34x = 2,169.72 × 522.69
  4. Step 4: Simplify right side
    1,447.34x = 1,134,099.08
  5. Step 5: Solve for x
    x = 1,134,099.08/1,447.34
  6. Step 6: Final answer
    x = 783.58

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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.