Home / 1,021.80-1,533.69-966.30

Finding the Fourth Proportional to 1,021.80, 1,533.69 and 966.30

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Solution

The fourth proportional to 1,021.80, 1,533.69 and 966.30 is: 1,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.80 : 1,533.69 = 966.30 : x
  2. Step 2: Convert to fraction form
    1,021.80/1,533.69 = 966.30/x
  3. Step 3: Cross multiply
    1,021.80x = 1,533.69 × 966.30
  4. Step 4: Simplify right side
    1,021.80x = 1,482,004.65
  5. Step 5: Solve for x
    x = 1,482,004.65/1,021.80
  6. Step 6: Final answer
    x = 1,450.39

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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.