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Finding the Fourth Proportional to 1,190.34, 1,785.03 and 459.45

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Solution

The fourth proportional to 1,190.34, 1,785.03 and 459.45 is: 688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.34 : 1,785.03 = 459.45 : x
  2. Step 2: Convert to fraction form
    1,190.34/1,785.03 = 459.45/x
  3. Step 3: Cross multiply
    1,190.34x = 1,785.03 × 459.45
  4. Step 4: Simplify right side
    1,190.34x = 820,132.03
  5. Step 5: Solve for x
    x = 820,132.03/1,190.34
  6. Step 6: Final answer
    x = 688.99

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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.