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Finding the Fourth Proportional to 3,075.02, 4,612.53 and 766.52

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Solution

The fourth proportional to 3,075.02, 4,612.53 and 766.52 is: 1,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.02 : 4,612.53 = 766.52 : x
  2. Step 2: Convert to fraction form
    3,075.02/4,612.53 = 766.52/x
  3. Step 3: Cross multiply
    3,075.02x = 4,612.53 × 766.52
  4. Step 4: Simplify right side
    3,075.02x = 3,535,596.50
  5. Step 5: Solve for x
    x = 3,535,596.50/3,075.02
  6. Step 6: Final answer
    x = 1,149.78

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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.