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Finding the Fourth Proportional to 783.36, 1,176.48 and 639.36

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Solution

The fourth proportional to 783.36, 1,176.48 and 639.36 is: 960.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.36 : 1,176.48 = 639.36 : x
  2. Step 2: Convert to fraction form
    783.36/1,176.48 = 639.36/x
  3. Step 3: Cross multiply
    783.36x = 1,176.48 × 639.36
  4. Step 4: Simplify right side
    783.36x = 752,194.25
  5. Step 5: Solve for x
    x = 752,194.25/783.36
  6. Step 6: Final answer
    x = 960.22

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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.