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Finding the Fourth Proportional to 1,444.71, 2,166.82 and 520.09

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Solution

The fourth proportional to 1,444.71, 2,166.82 and 520.09 is: 780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.71 : 2,166.82 = 520.09 : x
  2. Step 2: Convert to fraction form
    1,444.71/2,166.82 = 520.09/x
  3. Step 3: Cross multiply
    1,444.71x = 2,166.82 × 520.09
  4. Step 4: Simplify right side
    1,444.71x = 1,126,938.81
  5. Step 5: Solve for x
    x = 1,126,938.81/1,444.71
  6. Step 6: Final answer
    x = 780.05

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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.