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Finding the Fourth Proportional to 1,450.39, 2,174.29 and 525.73

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Solution

The fourth proportional to 1,450.39, 2,174.29 and 525.73 is: 788.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.39 : 2,174.29 = 525.73 : x
  2. Step 2: Convert to fraction form
    1,450.39/2,174.29 = 525.73/x
  3. Step 3: Cross multiply
    1,450.39x = 2,174.29 × 525.73
  4. Step 4: Simplify right side
    1,450.39x = 1,143,089.48
  5. Step 5: Solve for x
    x = 1,143,089.48/1,450.39
  6. Step 6: Final answer
    x = 788.13

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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.