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Finding the Fourth Proportional to 823.96, 1,135.20 and 676.36

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Solution

The fourth proportional to 823.96, 1,135.20 and 676.36 is: 931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.96 : 1,135.20 = 676.36 : x
  2. Step 2: Convert to fraction form
    823.96/1,135.20 = 676.36/x
  3. Step 3: Cross multiply
    823.96x = 1,135.20 × 676.36
  4. Step 4: Simplify right side
    823.96x = 767,803.87
  5. Step 5: Solve for x
    x = 767,803.87/823.96
  6. Step 6: Final answer
    x = 931.85

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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.