Home / 1,215.74-1,823.39-599.24

Finding the Fourth Proportional to 1,215.74, 1,823.39 and 599.24

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Solution

The fourth proportional to 1,215.74, 1,823.39 and 599.24 is: 898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.74 : 1,823.39 = 599.24 : x
  2. Step 2: Convert to fraction form
    1,215.74/1,823.39 = 599.24/x
  3. Step 3: Cross multiply
    1,215.74x = 1,823.39 × 599.24
  4. Step 4: Simplify right side
    1,215.74x = 1,092,636.11
  5. Step 5: Solve for x
    x = 1,092,636.11/1,215.74
  6. Step 6: Final answer
    x = 898.75

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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.