Home / 1,218.16-1,828.13-487.95

Finding the Fourth Proportional to 1,218.16, 1,828.13 and 487.95

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Solution

The fourth proportional to 1,218.16, 1,828.13 and 487.95 is: 732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.16 : 1,828.13 = 487.95 : x
  2. Step 2: Convert to fraction form
    1,218.16/1,828.13 = 487.95/x
  3. Step 3: Cross multiply
    1,218.16x = 1,828.13 × 487.95
  4. Step 4: Simplify right side
    1,218.16x = 892,036.03
  5. Step 5: Solve for x
    x = 892,036.03/1,218.16
  6. Step 6: Final answer
    x = 732.28

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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.