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Finding the Fourth Proportional to 1,072.54, 1,609.28 and 525.25

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Solution

The fourth proportional to 1,072.54, 1,609.28 and 525.25 is: 788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.54 : 1,609.28 = 525.25 : x
  2. Step 2: Convert to fraction form
    1,072.54/1,609.28 = 525.25/x
  3. Step 3: Cross multiply
    1,072.54x = 1,609.28 × 525.25
  4. Step 4: Simplify right side
    1,072.54x = 845,263.65
  5. Step 5: Solve for x
    x = 845,263.65/1,072.54
  6. Step 6: Final answer
    x = 788.10

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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.