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Finding the Fourth Proportional to 3,085.39, 4,628.07 and 776.89

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Solution

The fourth proportional to 3,085.39, 4,628.07 and 776.89 is: 1,165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.39 : 4,628.07 = 776.89 : x
  2. Step 2: Convert to fraction form
    3,085.39/4,628.07 = 776.89/x
  3. Step 3: Cross multiply
    3,085.39x = 4,628.07 × 776.89
  4. Step 4: Simplify right side
    3,085.39x = 3,595,501.30
  5. Step 5: Solve for x
    x = 3,595,501.30/3,085.39
  6. Step 6: Final answer
    x = 1,165.33

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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.