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Finding the Fourth Proportional to 1,783.05, 2,675.02 and 613.07

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Solution

The fourth proportional to 1,783.05, 2,675.02 and 613.07 is: 919.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.05 : 2,675.02 = 613.07 : x
  2. Step 2: Convert to fraction form
    1,783.05/2,675.02 = 613.07/x
  3. Step 3: Cross multiply
    1,783.05x = 2,675.02 × 613.07
  4. Step 4: Simplify right side
    1,783.05x = 1,639,979.67
  5. Step 5: Solve for x
    x = 1,639,979.67/1,783.05
  6. Step 6: Final answer
    x = 919.76

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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.