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Finding the Fourth Proportional to 1,385.45, 1,911.70 and 795.87

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Solution

The fourth proportional to 1,385.45, 1,911.70 and 795.87 is: 1,098.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.45 : 1,911.70 = 795.87 : x
  2. Step 2: Convert to fraction form
    1,385.45/1,911.70 = 795.87/x
  3. Step 3: Cross multiply
    1,385.45x = 1,911.70 × 795.87
  4. Step 4: Simplify right side
    1,385.45x = 1,521,464.68
  5. Step 5: Solve for x
    x = 1,521,464.68/1,385.45
  6. Step 6: Final answer
    x = 1,098.17

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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.