Home / 1,680.20-2,518.86-584.42

Finding the Fourth Proportional to 1,680.20, 2,518.86 and 584.42

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Solution

The fourth proportional to 1,680.20, 2,518.86 and 584.42 is: 876.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.20 : 2,518.86 = 584.42 : x
  2. Step 2: Convert to fraction form
    1,680.20/2,518.86 = 584.42/x
  3. Step 3: Cross multiply
    1,680.20x = 2,518.86 × 584.42
  4. Step 4: Simplify right side
    1,680.20x = 1,472,078.46
  5. Step 5: Solve for x
    x = 1,472,078.46/1,680.20
  6. Step 6: Final answer
    x = 876.13

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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.