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Finding the Fourth Proportional to 1,199.68, 1,797.36 and 623.20

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Solution

The fourth proportional to 1,199.68, 1,797.36 and 623.20 is: 933.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.68 : 1,797.36 = 623.20 : x
  2. Step 2: Convert to fraction form
    1,199.68/1,797.36 = 623.20/x
  3. Step 3: Cross multiply
    1,199.68x = 1,797.36 × 623.20
  4. Step 4: Simplify right side
    1,199.68x = 1,120,114.75
  5. Step 5: Solve for x
    x = 1,120,114.75/1,199.68
  6. Step 6: Final answer
    x = 933.68

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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.