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Finding the Fourth Proportional to 1,016.85, 1,525.12 and 323.43

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Solution

The fourth proportional to 1,016.85, 1,525.12 and 323.43 is: 485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.85 : 1,525.12 = 323.43 : x
  2. Step 2: Convert to fraction form
    1,016.85/1,525.12 = 323.43/x
  3. Step 3: Cross multiply
    1,016.85x = 1,525.12 × 323.43
  4. Step 4: Simplify right side
    1,016.85x = 493,269.56
  5. Step 5: Solve for x
    x = 493,269.56/1,016.85
  6. Step 6: Final answer
    x = 485.10

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1.5x scale

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.