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Finding the Fourth Proportional to 783.80, 1,175.70 and 716.60

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Solution

The fourth proportional to 783.80, 1,175.70 and 716.60 is: 1,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.80 : 1,175.70 = 716.60 : x
  2. Step 2: Convert to fraction form
    783.80/1,175.70 = 716.60/x
  3. Step 3: Cross multiply
    783.80x = 1,175.70 × 716.60
  4. Step 4: Simplify right side
    783.80x = 842,506.62
  5. Step 5: Solve for x
    x = 842,506.62/783.80
  6. Step 6: Final answer
    x = 1,074.90

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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.