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Finding the Fourth Proportional to 952.82, 1,429.20 and 259.47

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Solution

The fourth proportional to 952.82, 1,429.20 and 259.47 is: 389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.82 : 1,429.20 = 259.47 : x
  2. Step 2: Convert to fraction form
    952.82/1,429.20 = 259.47/x
  3. Step 3: Cross multiply
    952.82x = 1,429.20 × 259.47
  4. Step 4: Simplify right side
    952.82x = 370,834.52
  5. Step 5: Solve for x
    x = 370,834.52/952.82
  6. Step 6: Final answer
    x = 389.20

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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.