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Finding the Fourth Proportional to 1,119, 1,544.24 and 621.66

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Solution

The fourth proportional to 1,119, 1,544.24 and 621.66 is: 857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119 : 1,544.24 = 621.66 : x
  2. Step 2: Convert to fraction form
    1,119/1,544.24 = 621.66/x
  3. Step 3: Cross multiply
    1,119x = 1,544.24 × 621.66
  4. Step 4: Simplify right side
    1,119x = 959,989.13
  5. Step 5: Solve for x
    x = 959,989.13/1,119
  6. Step 6: Final answer
    x = 857.90

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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.