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Finding the Fourth Proportional to 1,535.54, 2,302.64 and 439.66

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Solution

The fourth proportional to 1,535.54, 2,302.64 and 439.66 is: 659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.54 : 2,302.64 = 439.66 : x
  2. Step 2: Convert to fraction form
    1,535.54/2,302.64 = 439.66/x
  3. Step 3: Cross multiply
    1,535.54x = 2,302.64 × 439.66
  4. Step 4: Simplify right side
    1,535.54x = 1,012,378.70
  5. Step 5: Solve for x
    x = 1,012,378.70/1,535.54
  6. Step 6: Final answer
    x = 659.30

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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.