Home / 1,442.10-2,161.83-467.70

Finding the Fourth Proportional to 1,442.10, 2,161.83 and 467.70

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Solution

The fourth proportional to 1,442.10, 2,161.83 and 467.70 is: 701.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.10 : 2,161.83 = 467.70 : x
  2. Step 2: Convert to fraction form
    1,442.10/2,161.83 = 467.70/x
  3. Step 3: Cross multiply
    1,442.10x = 2,161.83 × 467.70
  4. Step 4: Simplify right side
    1,442.10x = 1,011,087.89
  5. Step 5: Solve for x
    x = 1,011,087.89/1,442.10
  6. Step 6: Final answer
    x = 701.12

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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.