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Finding the Fourth Proportional to 776.49, 1,162.32 and 580.33

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Solution

The fourth proportional to 776.49, 1,162.32 and 580.33 is: 868.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.49 : 1,162.32 = 580.33 : x
  2. Step 2: Convert to fraction form
    776.49/1,162.32 = 580.33/x
  3. Step 3: Cross multiply
    776.49x = 1,162.32 × 580.33
  4. Step 4: Simplify right side
    776.49x = 674,528.44
  5. Step 5: Solve for x
    x = 674,528.44/776.49
  6. Step 6: Final answer
    x = 868.69

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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.