Home / 1,983.45-2,975.31-522.57

Finding the Fourth Proportional to 1,983.45, 2,975.31 and 522.57

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Solution

The fourth proportional to 1,983.45, 2,975.31 and 522.57 is: 783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.45 : 2,975.31 = 522.57 : x
  2. Step 2: Convert to fraction form
    1,983.45/2,975.31 = 522.57/x
  3. Step 3: Cross multiply
    1,983.45x = 2,975.31 × 522.57
  4. Step 4: Simplify right side
    1,983.45x = 1,554,807.75
  5. Step 5: Solve for x
    x = 1,554,807.75/1,983.45
  6. Step 6: Final answer
    x = 783.89

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1.5x scale

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.