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Finding the Fourth Proportional to 985.02, 1,475.82 and 822.48

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Solution

The fourth proportional to 985.02, 1,475.82 and 822.48 is: 1,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.02 : 1,475.82 = 822.48 : x
  2. Step 2: Convert to fraction form
    985.02/1,475.82 = 822.48/x
  3. Step 3: Cross multiply
    985.02x = 1,475.82 × 822.48
  4. Step 4: Simplify right side
    985.02x = 1,213,832.43
  5. Step 5: Solve for x
    x = 1,213,832.43/985.02
  6. Step 6: Final answer
    x = 1,232.29

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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.