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Finding the Fourth Proportional to 701.94, 1,053.03 and 239.77

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Solution

The fourth proportional to 701.94, 1,053.03 and 239.77 is: 359.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.94 : 1,053.03 = 239.77 : x
  2. Step 2: Convert to fraction form
    701.94/1,053.03 = 239.77/x
  3. Step 3: Cross multiply
    701.94x = 1,053.03 × 239.77
  4. Step 4: Simplify right side
    701.94x = 252,479.74
  5. Step 5: Solve for x
    x = 252,479.74/701.94
  6. Step 6: Final answer
    x = 359.69

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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.