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Finding the Fourth Proportional to 1,199.88, 1,799.90 and 430.12

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Solution

The fourth proportional to 1,199.88, 1,799.90 and 430.12 is: 645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.88 : 1,799.90 = 430.12 : x
  2. Step 2: Convert to fraction form
    1,199.88/1,799.90 = 430.12/x
  3. Step 3: Cross multiply
    1,199.88x = 1,799.90 × 430.12
  4. Step 4: Simplify right side
    1,199.88x = 774,172.99
  5. Step 5: Solve for x
    x = 774,172.99/1,199.88
  6. Step 6: Final answer
    x = 645.21

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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.