Home / 1,149.12-1,724.10-564.36

Finding the Fourth Proportional to 1,149.12, 1,724.10 and 564.36

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Solution

The fourth proportional to 1,149.12, 1,724.10 and 564.36 is: 846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.12 : 1,724.10 = 564.36 : x
  2. Step 2: Convert to fraction form
    1,149.12/1,724.10 = 564.36/x
  3. Step 3: Cross multiply
    1,149.12x = 1,724.10 × 564.36
  4. Step 4: Simplify right side
    1,149.12x = 973,013.08
  5. Step 5: Solve for x
    x = 973,013.08/1,149.12
  6. Step 6: Final answer
    x = 846.75

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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.