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Finding the Fourth Proportional to 1,646.87, 2,469.76 and 476.75

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Solution

The fourth proportional to 1,646.87, 2,469.76 and 476.75 is: 714.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.87 : 2,469.76 = 476.75 : x
  2. Step 2: Convert to fraction form
    1,646.87/2,469.76 = 476.75/x
  3. Step 3: Cross multiply
    1,646.87x = 2,469.76 × 476.75
  4. Step 4: Simplify right side
    1,646.87x = 1,177,463.06
  5. Step 5: Solve for x
    x = 1,177,463.06/1,646.87
  6. Step 6: Final answer
    x = 714.97

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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.