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Finding the Fourth Proportional to 1,189.85, 1,785.29 and 459.94

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Solution

The fourth proportional to 1,189.85, 1,785.29 and 459.94 is: 690.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.85 : 1,785.29 = 459.94 : x
  2. Step 2: Convert to fraction form
    1,189.85/1,785.29 = 459.94/x
  3. Step 3: Cross multiply
    1,189.85x = 1,785.29 × 459.94
  4. Step 4: Simplify right side
    1,189.85x = 821,123.98
  5. Step 5: Solve for x
    x = 821,123.98/1,189.85
  6. Step 6: Final answer
    x = 690.11

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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.