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Finding the Fourth Proportional to 755.58, 1,130.46 and 550.21

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Solution

The fourth proportional to 755.58, 1,130.46 and 550.21 is: 823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.58 : 1,130.46 = 550.21 : x
  2. Step 2: Convert to fraction form
    755.58/1,130.46 = 550.21/x
  3. Step 3: Cross multiply
    755.58x = 1,130.46 × 550.21
  4. Step 4: Simplify right side
    755.58x = 621,990.40
  5. Step 5: Solve for x
    x = 621,990.40/755.58
  6. Step 6: Final answer
    x = 823.20

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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.