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Finding the Fourth Proportional to 783.39, 1,173.85 and 636.43

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Solution

The fourth proportional to 783.39, 1,173.85 and 636.43 is: 953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.39 : 1,173.85 = 636.43 : x
  2. Step 2: Convert to fraction form
    783.39/1,173.85 = 636.43/x
  3. Step 3: Cross multiply
    783.39x = 1,173.85 × 636.43
  4. Step 4: Simplify right side
    783.39x = 747,068.83
  5. Step 5: Solve for x
    x = 747,068.83/783.39
  6. Step 6: Final answer
    x = 953.64

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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.