Home / 820.12-1,229.76-300.10

Finding the Fourth Proportional to 820.12, 1,229.76 and 300.10

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Solution

The fourth proportional to 820.12, 1,229.76 and 300.10 is: 450.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.12 : 1,229.76 = 300.10 : x
  2. Step 2: Convert to fraction form
    820.12/1,229.76 = 300.10/x
  3. Step 3: Cross multiply
    820.12x = 1,229.76 × 300.10
  4. Step 4: Simplify right side
    820.12x = 369,050.98
  5. Step 5: Solve for x
    x = 369,050.98/820.12
  6. Step 6: Final answer
    x = 450.00

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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.