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Finding the Fourth Proportional to 3,043.44, 4,564.72 and 822.40

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Solution

The fourth proportional to 3,043.44, 4,564.72 and 822.40 is: 1,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.44 : 4,564.72 = 822.40 : x
  2. Step 2: Convert to fraction form
    3,043.44/4,564.72 = 822.40/x
  3. Step 3: Cross multiply
    3,043.44x = 4,564.72 × 822.40
  4. Step 4: Simplify right side
    3,043.44x = 3,754,020.81
  5. Step 5: Solve for x
    x = 3,754,020.81/3,043.44
  6. Step 6: Final answer
    x = 1,233.48

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1.5x scale

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.