Home / 1,462.85-2,193.61-584.62

Finding the Fourth Proportional to 1,462.85, 2,193.61 and 584.62

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Solution

The fourth proportional to 1,462.85, 2,193.61 and 584.62 is: 876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.85 : 2,193.61 = 584.62 : x
  2. Step 2: Convert to fraction form
    1,462.85/2,193.61 = 584.62/x
  3. Step 3: Cross multiply
    1,462.85x = 2,193.61 × 584.62
  4. Step 4: Simplify right side
    1,462.85x = 1,282,417.22
  5. Step 5: Solve for x
    x = 1,282,417.22/1,462.85
  6. Step 6: Final answer
    x = 876.65

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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.