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Finding the Fourth Proportional to 1,933.03, 2,899.75 and 616.47

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Solution

The fourth proportional to 1,933.03, 2,899.75 and 616.47 is: 924.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.03 : 2,899.75 = 616.47 : x
  2. Step 2: Convert to fraction form
    1,933.03/2,899.75 = 616.47/x
  3. Step 3: Cross multiply
    1,933.03x = 2,899.75 × 616.47
  4. Step 4: Simplify right side
    1,933.03x = 1,787,608.88
  5. Step 5: Solve for x
    x = 1,787,608.88/1,933.03
  6. Step 6: Final answer
    x = 924.77

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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.