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Finding the Fourth Proportional to 1,308.58, 1,805.23 and 836.23

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Solution

The fourth proportional to 1,308.58, 1,805.23 and 836.23 is: 1,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.58 : 1,805.23 = 836.23 : x
  2. Step 2: Convert to fraction form
    1,308.58/1,805.23 = 836.23/x
  3. Step 3: Cross multiply
    1,308.58x = 1,805.23 × 836.23
  4. Step 4: Simplify right side
    1,308.58x = 1,509,583.30
  5. Step 5: Solve for x
    x = 1,509,583.30/1,308.58
  6. Step 6: Final answer
    x = 1,153.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.