Home / 1,021.90-1,533.27-559.12

Finding the Fourth Proportional to 1,021.90, 1,533.27 and 559.12

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Solution

The fourth proportional to 1,021.90, 1,533.27 and 559.12 is: 838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.90 : 1,533.27 = 559.12 : x
  2. Step 2: Convert to fraction form
    1,021.90/1,533.27 = 559.12/x
  3. Step 3: Cross multiply
    1,021.90x = 1,533.27 × 559.12
  4. Step 4: Simplify right side
    1,021.90x = 857,281.92
  5. Step 5: Solve for x
    x = 857,281.92/1,021.90
  6. Step 6: Final answer
    x = 838.91

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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.