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Finding the Fourth Proportional to 844.02, 1,163.70 and 678.24

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Solution

The fourth proportional to 844.02, 1,163.70 and 678.24 is: 935.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.02 : 1,163.70 = 678.24 : x
  2. Step 2: Convert to fraction form
    844.02/1,163.70 = 678.24/x
  3. Step 3: Cross multiply
    844.02x = 1,163.70 × 678.24
  4. Step 4: Simplify right side
    844.02x = 789,267.89
  5. Step 5: Solve for x
    x = 789,267.89/844.02
  6. Step 6: Final answer
    x = 935.13

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1.5x scale

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.