Home / 1,508.09-2,260.40-583.16

Finding the Fourth Proportional to 1,508.09, 2,260.40 and 583.16

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Solution

The fourth proportional to 1,508.09, 2,260.40 and 583.16 is: 874.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.09 : 2,260.40 = 583.16 : x
  2. Step 2: Convert to fraction form
    1,508.09/2,260.40 = 583.16/x
  3. Step 3: Cross multiply
    1,508.09x = 2,260.40 × 583.16
  4. Step 4: Simplify right side
    1,508.09x = 1,318,160.65
  5. Step 5: Solve for x
    x = 1,318,160.65/1,508.09
  6. Step 6: Final answer
    x = 874.06

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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.