Home / 1,162.35-1,742.98-614.38

Finding the Fourth Proportional to 1,162.35, 1,742.98 and 614.38

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Solution

The fourth proportional to 1,162.35, 1,742.98 and 614.38 is: 921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.35 : 1,742.98 = 614.38 : x
  2. Step 2: Convert to fraction form
    1,162.35/1,742.98 = 614.38/x
  3. Step 3: Cross multiply
    1,162.35x = 1,742.98 × 614.38
  4. Step 4: Simplify right side
    1,162.35x = 1,070,852.05
  5. Step 5: Solve for x
    x = 1,070,852.05/1,162.35
  6. Step 6: Final answer
    x = 921.28

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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.