Home / 1,021.14-1,531.31-534.60

Finding the Fourth Proportional to 1,021.14, 1,531.31 and 534.60

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Solution

The fourth proportional to 1,021.14, 1,531.31 and 534.60 is: 801.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.14 : 1,531.31 = 534.60 : x
  2. Step 2: Convert to fraction form
    1,021.14/1,531.31 = 534.60/x
  3. Step 3: Cross multiply
    1,021.14x = 1,531.31 × 534.60
  4. Step 4: Simplify right side
    1,021.14x = 818,635.65
  5. Step 5: Solve for x
    x = 818,635.65/1,021.14
  6. Step 6: Final answer
    x = 801.69

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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.