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Finding the Fourth Proportional to 834.22, 1,150.23 and 760.24

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Solution

The fourth proportional to 834.22, 1,150.23 and 760.24 is: 1,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.22 : 1,150.23 = 760.24 : x
  2. Step 2: Convert to fraction form
    834.22/1,150.23 = 760.24/x
  3. Step 3: Cross multiply
    834.22x = 1,150.23 × 760.24
  4. Step 4: Simplify right side
    834.22x = 874,450.86
  5. Step 5: Solve for x
    x = 874,450.86/834.22
  6. Step 6: Final answer
    x = 1,048.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.