Home / 1,228.74-1,844.40-613.14

Finding the Fourth Proportional to 1,228.74, 1,844.40 and 613.14

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Solution

The fourth proportional to 1,228.74, 1,844.40 and 613.14 is: 920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.74 : 1,844.40 = 613.14 : x
  2. Step 2: Convert to fraction form
    1,228.74/1,844.40 = 613.14/x
  3. Step 3: Cross multiply
    1,228.74x = 1,844.40 × 613.14
  4. Step 4: Simplify right side
    1,228.74x = 1,130,875.42
  5. Step 5: Solve for x
    x = 1,130,875.42/1,228.74
  6. Step 6: Final answer
    x = 920.35

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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.