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Finding the Fourth Proportional to 783.59, 1,181.27 and 730.74

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Solution

The fourth proportional to 783.59, 1,181.27 and 730.74 is: 1,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.59 : 1,181.27 = 730.74 : x
  2. Step 2: Convert to fraction form
    783.59/1,181.27 = 730.74/x
  3. Step 3: Cross multiply
    783.59x = 1,181.27 × 730.74
  4. Step 4: Simplify right side
    783.59x = 863,197.59
  5. Step 5: Solve for x
    x = 863,197.59/783.59
  6. Step 6: Final answer
    x = 1,101.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.