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Finding the Fourth Proportional to 1,119.02, 1,544.25 and 621.68

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Solution

The fourth proportional to 1,119.02, 1,544.25 and 621.68 is: 857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.02 : 1,544.25 = 621.68 : x
  2. Step 2: Convert to fraction form
    1,119.02/1,544.25 = 621.68/x
  3. Step 3: Cross multiply
    1,119.02x = 1,544.25 × 621.68
  4. Step 4: Simplify right side
    1,119.02x = 960,021.62
  5. Step 5: Solve for x
    x = 960,021.62/1,119.02
  6. Step 6: Final answer
    x = 857.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.