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Finding the Fourth Proportional to 1,709.50, 2,563.99 and 476.78

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Solution

The fourth proportional to 1,709.50, 2,563.99 and 476.78 is: 715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.50 : 2,563.99 = 476.78 : x
  2. Step 2: Convert to fraction form
    1,709.50/2,563.99 = 476.78/x
  3. Step 3: Cross multiply
    1,709.50x = 2,563.99 × 476.78
  4. Step 4: Simplify right side
    1,709.50x = 1,222,459.15
  5. Step 5: Solve for x
    x = 1,222,459.15/1,709.50
  6. Step 6: Final answer
    x = 715.10

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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.