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Finding the Fourth Proportional to 826.30, 1,143.12 and 678.64

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Solution

The fourth proportional to 826.30, 1,143.12 and 678.64 is: 938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.30 : 1,143.12 = 678.64 : x
  2. Step 2: Convert to fraction form
    826.30/1,143.12 = 678.64/x
  3. Step 3: Cross multiply
    826.30x = 1,143.12 × 678.64
  4. Step 4: Simplify right side
    826.30x = 775,766.96
  5. Step 5: Solve for x
    x = 775,766.96/826.30
  6. Step 6: Final answer
    x = 938.84

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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.