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Finding the Fourth Proportional to 702.82, 1,053.94 and 263.94

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Solution

The fourth proportional to 702.82, 1,053.94 and 263.94 is: 395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.82 : 1,053.94 = 263.94 : x
  2. Step 2: Convert to fraction form
    702.82/1,053.94 = 263.94/x
  3. Step 3: Cross multiply
    702.82x = 1,053.94 × 263.94
  4. Step 4: Simplify right side
    702.82x = 278,176.92
  5. Step 5: Solve for x
    x = 278,176.92/702.82
  6. Step 6: Final answer
    x = 395.80

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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.