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Finding the Fourth Proportional to 1,086.33, 1,628.07 and 436.32

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Solution

The fourth proportional to 1,086.33, 1,628.07 and 436.32 is: 653.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.33 : 1,628.07 = 436.32 : x
  2. Step 2: Convert to fraction form
    1,086.33/1,628.07 = 436.32/x
  3. Step 3: Cross multiply
    1,086.33x = 1,628.07 × 436.32
  4. Step 4: Simplify right side
    1,086.33x = 710,359.50
  5. Step 5: Solve for x
    x = 710,359.50/1,086.33
  6. Step 6: Final answer
    x = 653.91

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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.