Home / 1,316.23-1,974.41-585.81

Finding the Fourth Proportional to 1,316.23, 1,974.41 and 585.81

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Solution

The fourth proportional to 1,316.23, 1,974.41 and 585.81 is: 878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.23 : 1,974.41 = 585.81 : x
  2. Step 2: Convert to fraction form
    1,316.23/1,974.41 = 585.81/x
  3. Step 3: Cross multiply
    1,316.23x = 1,974.41 × 585.81
  4. Step 4: Simplify right side
    1,316.23x = 1,156,628.39
  5. Step 5: Solve for x
    x = 1,156,628.39/1,316.23
  6. Step 6: Final answer
    x = 878.75

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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.