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Finding the Fourth Proportional to 1,617.42, 2,426.43 and 644.19

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Solution

The fourth proportional to 1,617.42, 2,426.43 and 644.19 is: 966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.42 : 2,426.43 = 644.19 : x
  2. Step 2: Convert to fraction form
    1,617.42/2,426.43 = 644.19/x
  3. Step 3: Cross multiply
    1,617.42x = 2,426.43 × 644.19
  4. Step 4: Simplify right side
    1,617.42x = 1,563,081.94
  5. Step 5: Solve for x
    x = 1,563,081.94/1,617.42
  6. Step 6: Final answer
    x = 966.40

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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.