Home / 1,021.55-1,531.94-436.52

Finding the Fourth Proportional to 1,021.55, 1,531.94 and 436.52

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Solution

The fourth proportional to 1,021.55, 1,531.94 and 436.52 is: 654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.55 : 1,531.94 = 436.52 : x
  2. Step 2: Convert to fraction form
    1,021.55/1,531.94 = 436.52/x
  3. Step 3: Cross multiply
    1,021.55x = 1,531.94 × 436.52
  4. Step 4: Simplify right side
    1,021.55x = 668,724.10
  5. Step 5: Solve for x
    x = 668,724.10/1,021.55
  6. Step 6: Final answer
    x = 654.62

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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.