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Finding the Fourth Proportional to 1,433.08, 1,976.88 and 835.66

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Solution

The fourth proportional to 1,433.08, 1,976.88 and 835.66 is: 1,152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.08 : 1,976.88 = 835.66 : x
  2. Step 2: Convert to fraction form
    1,433.08/1,976.88 = 835.66/x
  3. Step 3: Cross multiply
    1,433.08x = 1,976.88 × 835.66
  4. Step 4: Simplify right side
    1,433.08x = 1,651,999.54
  5. Step 5: Solve for x
    x = 1,651,999.54/1,433.08
  6. Step 6: Final answer
    x = 1,152.76

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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.