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Finding the Fourth Proportional to 1,263.68, 1,894.66 and 441.84

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Solution

The fourth proportional to 1,263.68, 1,894.66 and 441.84 is: 662.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.68 : 1,894.66 = 441.84 : x
  2. Step 2: Convert to fraction form
    1,263.68/1,894.66 = 441.84/x
  3. Step 3: Cross multiply
    1,263.68x = 1,894.66 × 441.84
  4. Step 4: Simplify right side
    1,263.68x = 837,140.84
  5. Step 5: Solve for x
    x = 837,140.84/1,263.68
  6. Step 6: Final answer
    x = 662.46

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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.