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Finding the Fourth Proportional to 2,287.64, 3,431.40 and 644.18

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Solution

The fourth proportional to 2,287.64, 3,431.40 and 644.18 is: 966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.64 : 3,431.40 = 644.18 : x
  2. Step 2: Convert to fraction form
    2,287.64/3,431.40 = 644.18/x
  3. Step 3: Cross multiply
    2,287.64x = 3,431.40 × 644.18
  4. Step 4: Simplify right side
    2,287.64x = 2,210,439.25
  5. Step 5: Solve for x
    x = 2,210,439.25/2,287.64
  6. Step 6: Final answer
    x = 966.25

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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.