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Finding the Fourth Proportional to 1,263.85, 1,894.96 and 533.23

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Solution

The fourth proportional to 1,263.85, 1,894.96 and 533.23 is: 799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.85 : 1,894.96 = 533.23 : x
  2. Step 2: Convert to fraction form
    1,263.85/1,894.96 = 533.23/x
  3. Step 3: Cross multiply
    1,263.85x = 1,894.96 × 533.23
  4. Step 4: Simplify right side
    1,263.85x = 1,010,449.52
  5. Step 5: Solve for x
    x = 1,010,449.52/1,263.85
  6. Step 6: Final answer
    x = 799.50

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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.