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Finding the Fourth Proportional to 1,059.09, 1,584.95 and 642.38

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Solution

The fourth proportional to 1,059.09, 1,584.95 and 642.38 is: 961.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.09 : 1,584.95 = 642.38 : x
  2. Step 2: Convert to fraction form
    1,059.09/1,584.95 = 642.38/x
  3. Step 3: Cross multiply
    1,059.09x = 1,584.95 × 642.38
  4. Step 4: Simplify right side
    1,059.09x = 1,018,141.57
  5. Step 5: Solve for x
    x = 1,018,141.57/1,059.09
  6. Step 6: Final answer
    x = 961.33

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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.