Home / 1,199.45-1,799.32-377.60

Finding the Fourth Proportional to 1,199.45, 1,799.32 and 377.60

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Solution

The fourth proportional to 1,199.45, 1,799.32 and 377.60 is: 566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.45 : 1,799.32 = 377.60 : x
  2. Step 2: Convert to fraction form
    1,199.45/1,799.32 = 377.60/x
  3. Step 3: Cross multiply
    1,199.45x = 1,799.32 × 377.60
  4. Step 4: Simplify right side
    1,199.45x = 679,423.23
  5. Step 5: Solve for x
    x = 679,423.23/1,199.45
  6. Step 6: Final answer
    x = 566.45

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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.