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Finding the Fourth Proportional to 3,075.50, 4,613.22 and 767

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Solution

The fourth proportional to 3,075.50, 4,613.22 and 767 is: 1,150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.50 : 4,613.22 = 767 : x
  2. Step 2: Convert to fraction form
    3,075.50/4,613.22 = 767/x
  3. Step 3: Cross multiply
    3,075.50x = 4,613.22 × 767
  4. Step 4: Simplify right side
    3,075.50x = 3,538,339.74
  5. Step 5: Solve for x
    x = 3,538,339.74/3,075.50
  6. Step 6: Final answer
    x = 1,150.49

Related Problems

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Double scale
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Similar ratio
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1.5x scale

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.