Home / 1,021.63-1,531.44-533.65

Finding the Fourth Proportional to 1,021.63, 1,531.44 and 533.65

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Solution

The fourth proportional to 1,021.63, 1,531.44 and 533.65 is: 799.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.63 : 1,531.44 = 533.65 : x
  2. Step 2: Convert to fraction form
    1,021.63/1,531.44 = 533.65/x
  3. Step 3: Cross multiply
    1,021.63x = 1,531.44 × 533.65
  4. Step 4: Simplify right side
    1,021.63x = 817,252.96
  5. Step 5: Solve for x
    x = 817,252.96/1,021.63
  6. Step 6: Final answer
    x = 799.95

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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.