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Finding the Fourth Proportional to 1,535.52, 2,302.94 and 439.64

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Solution

The fourth proportional to 1,535.52, 2,302.94 and 439.64 is: 659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.52 : 2,302.94 = 439.64 : x
  2. Step 2: Convert to fraction form
    1,535.52/2,302.94 = 439.64/x
  3. Step 3: Cross multiply
    1,535.52x = 2,302.94 × 439.64
  4. Step 4: Simplify right side
    1,535.52x = 1,012,464.54
  5. Step 5: Solve for x
    x = 1,012,464.54/1,535.52
  6. Step 6: Final answer
    x = 659.36

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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.