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Finding the Fourth Proportional to 3,085.50, 4,628.25 and 777

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Solution

The fourth proportional to 3,085.50, 4,628.25 and 777 is: 1,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.50 : 4,628.25 = 777 : x
  2. Step 2: Convert to fraction form
    3,085.50/4,628.25 = 777/x
  3. Step 3: Cross multiply
    3,085.50x = 4,628.25 × 777
  4. Step 4: Simplify right side
    3,085.50x = 3,596,150.25
  5. Step 5: Solve for x
    x = 3,596,150.25/3,085.50
  6. Step 6: Final answer
    x = 1,165.50

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Double scale
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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.