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Finding the Fourth Proportional to 1,208.91, 1,668.06 and 835.30

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Solution

The fourth proportional to 1,208.91, 1,668.06 and 835.30 is: 1,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.91 : 1,668.06 = 835.30 : x
  2. Step 2: Convert to fraction form
    1,208.91/1,668.06 = 835.30/x
  3. Step 3: Cross multiply
    1,208.91x = 1,668.06 × 835.30
  4. Step 4: Simplify right side
    1,208.91x = 1,393,330.52
  5. Step 5: Solve for x
    x = 1,393,330.52/1,208.91
  6. Step 6: Final answer
    x = 1,152.55

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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.