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Finding the Fourth Proportional to 1,523.49, 2,286.14 and 830.16

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Solution

The fourth proportional to 1,523.49, 2,286.14 and 830.16 is: 1,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.49 : 2,286.14 = 830.16 : x
  2. Step 2: Convert to fraction form
    1,523.49/2,286.14 = 830.16/x
  3. Step 3: Cross multiply
    1,523.49x = 2,286.14 × 830.16
  4. Step 4: Simplify right side
    1,523.49x = 1,897,857.83
  5. Step 5: Solve for x
    x = 1,897,857.83/1,523.49
  6. Step 6: Final answer
    x = 1,245.73

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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.