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Finding the Fourth Proportional to 1,384.35, 1,910.80 and 912.59

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Solution

The fourth proportional to 1,384.35, 1,910.80 and 912.59 is: 1,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.35 : 1,910.80 = 912.59 : x
  2. Step 2: Convert to fraction form
    1,384.35/1,910.80 = 912.59/x
  3. Step 3: Cross multiply
    1,384.35x = 1,910.80 × 912.59
  4. Step 4: Simplify right side
    1,384.35x = 1,743,776.97
  5. Step 5: Solve for x
    x = 1,743,776.97/1,384.35
  6. Step 6: Final answer
    x = 1,259.64

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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.