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Finding the Fourth Proportional to 823.56, 1,137.57 and 684.24

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Solution

The fourth proportional to 823.56, 1,137.57 and 684.24 is: 945.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.56 : 1,137.57 = 684.24 : x
  2. Step 2: Convert to fraction form
    823.56/1,137.57 = 684.24/x
  3. Step 3: Cross multiply
    823.56x = 1,137.57 × 684.24
  4. Step 4: Simplify right side
    823.56x = 778,370.90
  5. Step 5: Solve for x
    x = 778,370.90/823.56
  6. Step 6: Final answer
    x = 945.13

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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.