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Finding the Fourth Proportional to 1,450.34, 2,175.68 and 526.33

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Solution

The fourth proportional to 1,450.34, 2,175.68 and 526.33 is: 789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.34 : 2,175.68 = 526.33 : x
  2. Step 2: Convert to fraction form
    1,450.34/2,175.68 = 526.33/x
  3. Step 3: Cross multiply
    1,450.34x = 2,175.68 × 526.33
  4. Step 4: Simplify right side
    1,450.34x = 1,145,125.65
  5. Step 5: Solve for x
    x = 1,145,125.65/1,450.34
  6. Step 6: Final answer
    x = 789.56

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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.