Home / 1,506.14-2,259.29-581.38

Finding the Fourth Proportional to 1,506.14, 2,259.29 and 581.38

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Solution

The fourth proportional to 1,506.14, 2,259.29 and 581.38 is: 872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.14 : 2,259.29 = 581.38 : x
  2. Step 2: Convert to fraction form
    1,506.14/2,259.29 = 581.38/x
  3. Step 3: Cross multiply
    1,506.14x = 2,259.29 × 581.38
  4. Step 4: Simplify right side
    1,506.14x = 1,313,501.83
  5. Step 5: Solve for x
    x = 1,313,501.83/1,506.14
  6. Step 6: Final answer
    x = 872.10

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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.