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Finding the Fourth Proportional to 763.94, 1,053.19 and 639.41

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Solution

The fourth proportional to 763.94, 1,053.19 and 639.41 is: 881.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.94 : 1,053.19 = 639.41 : x
  2. Step 2: Convert to fraction form
    763.94/1,053.19 = 639.41/x
  3. Step 3: Cross multiply
    763.94x = 1,053.19 × 639.41
  4. Step 4: Simplify right side
    763.94x = 673,420.22
  5. Step 5: Solve for x
    x = 673,420.22/763.94
  6. Step 6: Final answer
    x = 881.51

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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.