Home / 1,226.63-1,839.94-457.13

Finding the Fourth Proportional to 1,226.63, 1,839.94 and 457.13

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Solution

The fourth proportional to 1,226.63, 1,839.94 and 457.13 is: 685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.63 : 1,839.94 = 457.13 : x
  2. Step 2: Convert to fraction form
    1,226.63/1,839.94 = 457.13/x
  3. Step 3: Cross multiply
    1,226.63x = 1,839.94 × 457.13
  4. Step 4: Simplify right side
    1,226.63x = 841,091.77
  5. Step 5: Solve for x
    x = 841,091.77/1,226.63
  6. Step 6: Final answer
    x = 685.69

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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.