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Finding the Fourth Proportional to 1,308.25, 1,805.79 and 842.50

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Solution

The fourth proportional to 1,308.25, 1,805.79 and 842.50 is: 1,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.25 : 1,805.79 = 842.50 : x
  2. Step 2: Convert to fraction form
    1,308.25/1,805.79 = 842.50/x
  3. Step 3: Cross multiply
    1,308.25x = 1,805.79 × 842.50
  4. Step 4: Simplify right side
    1,308.25x = 1,521,378.08
  5. Step 5: Solve for x
    x = 1,521,378.08/1,308.25
  6. Step 6: Final answer
    x = 1,162.91

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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.