Home / 1,224.16-1,836.57-521.68

Finding the Fourth Proportional to 1,224.16, 1,836.57 and 521.68

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Solution

The fourth proportional to 1,224.16, 1,836.57 and 521.68 is: 782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.16 : 1,836.57 = 521.68 : x
  2. Step 2: Convert to fraction form
    1,224.16/1,836.57 = 521.68/x
  3. Step 3: Cross multiply
    1,224.16x = 1,836.57 × 521.68
  4. Step 4: Simplify right side
    1,224.16x = 958,101.84
  5. Step 5: Solve for x
    x = 958,101.84/1,224.16
  6. Step 6: Final answer
    x = 782.66

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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.