Home / 1,588.29-2,382.84-614.67

Finding the Fourth Proportional to 1,588.29, 2,382.84 and 614.67

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Solution

The fourth proportional to 1,588.29, 2,382.84 and 614.67 is: 922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.29 : 2,382.84 = 614.67 : x
  2. Step 2: Convert to fraction form
    1,588.29/2,382.84 = 614.67/x
  3. Step 3: Cross multiply
    1,588.29x = 2,382.84 × 614.67
  4. Step 4: Simplify right side
    1,588.29x = 1,464,660.26
  5. Step 5: Solve for x
    x = 1,464,660.26/1,588.29
  6. Step 6: Final answer
    x = 922.16

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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.