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Finding the Fourth Proportional to 763.83, 1,053.81 and 616.41

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Solution

The fourth proportional to 763.83, 1,053.81 and 616.41 is: 850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.83 : 1,053.81 = 616.41 : x
  2. Step 2: Convert to fraction form
    763.83/1,053.81 = 616.41/x
  3. Step 3: Cross multiply
    763.83x = 1,053.81 × 616.41
  4. Step 4: Simplify right side
    763.83x = 649,579.02
  5. Step 5: Solve for x
    x = 649,579.02/763.83
  6. Step 6: Final answer
    x = 850.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.