Home / 1,214.75-1,822.16-393.10

Finding the Fourth Proportional to 1,214.75, 1,822.16 and 393.10

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Solution

The fourth proportional to 1,214.75, 1,822.16 and 393.10 is: 589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.75 : 1,822.16 = 393.10 : x
  2. Step 2: Convert to fraction form
    1,214.75/1,822.16 = 393.10/x
  3. Step 3: Cross multiply
    1,214.75x = 1,822.16 × 393.10
  4. Step 4: Simplify right side
    1,214.75x = 716,287.52
  5. Step 5: Solve for x
    x = 716,287.52/1,214.75
  6. Step 6: Final answer
    x = 589.66

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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.