Home / 1,199.34-1,799.73-459.45

Finding the Fourth Proportional to 1,199.34, 1,799.73 and 459.45

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Solution

The fourth proportional to 1,199.34, 1,799.73 and 459.45 is: 689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.34 : 1,799.73 = 459.45 : x
  2. Step 2: Convert to fraction form
    1,199.34/1,799.73 = 459.45/x
  3. Step 3: Cross multiply
    1,199.34x = 1,799.73 × 459.45
  4. Step 4: Simplify right side
    1,199.34x = 826,885.95
  5. Step 5: Solve for x
    x = 826,885.95/1,199.34
  6. Step 6: Final answer
    x = 689.45

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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.