Home / 1,460.30-2,189.23-595.22

Finding the Fourth Proportional to 1,460.30, 2,189.23 and 595.22

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Solution

The fourth proportional to 1,460.30, 2,189.23 and 595.22 is: 892.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.30 : 2,189.23 = 595.22 : x
  2. Step 2: Convert to fraction form
    1,460.30/2,189.23 = 595.22/x
  3. Step 3: Cross multiply
    1,460.30x = 2,189.23 × 595.22
  4. Step 4: Simplify right side
    1,460.30x = 1,303,061.05
  5. Step 5: Solve for x
    x = 1,303,061.05/1,460.30
  6. Step 6: Final answer
    x = 892.33

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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.