Home / 1,292.28-1,936.74-522.36

Finding the Fourth Proportional to 1,292.28, 1,936.74 and 522.36

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Solution

The fourth proportional to 1,292.28, 1,936.74 and 522.36 is: 782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.28 : 1,936.74 = 522.36 : x
  2. Step 2: Convert to fraction form
    1,292.28/1,936.74 = 522.36/x
  3. Step 3: Cross multiply
    1,292.28x = 1,936.74 × 522.36
  4. Step 4: Simplify right side
    1,292.28x = 1,011,675.51
  5. Step 5: Solve for x
    x = 1,011,675.51/1,292.28
  6. Step 6: Final answer
    x = 782.86

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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.