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Finding the Fourth Proportional to 1,119.21, 1,544.53 and 621.90

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Solution

The fourth proportional to 1,119.21, 1,544.53 and 621.90 is: 858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.21 : 1,544.53 = 621.90 : x
  2. Step 2: Convert to fraction form
    1,119.21/1,544.53 = 621.90/x
  3. Step 3: Cross multiply
    1,119.21x = 1,544.53 × 621.90
  4. Step 4: Simplify right side
    1,119.21x = 960,533.93
  5. Step 5: Solve for x
    x = 960,533.93/1,119.21
  6. Step 6: Final answer
    x = 858.22

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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.