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Finding the Fourth Proportional to 1,447.61, 2,170.98 and 625.68

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Solution

The fourth proportional to 1,447.61, 2,170.98 and 625.68 is: 938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.61 : 2,170.98 = 625.68 : x
  2. Step 2: Convert to fraction form
    1,447.61/2,170.98 = 625.68/x
  3. Step 3: Cross multiply
    1,447.61x = 2,170.98 × 625.68
  4. Step 4: Simplify right side
    1,447.61x = 1,358,338.77
  5. Step 5: Solve for x
    x = 1,358,338.77/1,447.61
  6. Step 6: Final answer
    x = 938.34

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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.