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Finding the Fourth Proportional to 1,385.42, 1,911.94 and 795.96

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Solution

The fourth proportional to 1,385.42, 1,911.94 and 795.96 is: 1,098.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.42 : 1,911.94 = 795.96 : x
  2. Step 2: Convert to fraction form
    1,385.42/1,911.94 = 795.96/x
  3. Step 3: Cross multiply
    1,385.42x = 1,911.94 × 795.96
  4. Step 4: Simplify right side
    1,385.42x = 1,521,825.77
  5. Step 5: Solve for x
    x = 1,521,825.77/1,385.42
  6. Step 6: Final answer
    x = 1,098.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.