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Finding the Fourth Proportional to 1,219.83, 1,829.23 and 830.05

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Solution

The fourth proportional to 1,219.83, 1,829.23 and 830.05 is: 1,244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.83 : 1,829.23 = 830.05 : x
  2. Step 2: Convert to fraction form
    1,219.83/1,829.23 = 830.05/x
  3. Step 3: Cross multiply
    1,219.83x = 1,829.23 × 830.05
  4. Step 4: Simplify right side
    1,219.83x = 1,518,350.38
  5. Step 5: Solve for x
    x = 1,518,350.38/1,219.83
  6. Step 6: Final answer
    x = 1,244.72

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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.