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Finding the Fourth Proportional to 1,199.89, 1,799.85 and 430.39

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Solution

The fourth proportional to 1,199.89, 1,799.85 and 430.39 is: 645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.89 : 1,799.85 = 430.39 : x
  2. Step 2: Convert to fraction form
    1,199.89/1,799.85 = 430.39/x
  3. Step 3: Cross multiply
    1,199.89x = 1,799.85 × 430.39
  4. Step 4: Simplify right side
    1,199.89x = 774,637.44
  5. Step 5: Solve for x
    x = 774,637.44/1,199.89
  6. Step 6: Final answer
    x = 645.59

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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.