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Finding the Fourth Proportional to 1,263.65, 1,896.48 and 533.72

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Solution

The fourth proportional to 1,263.65, 1,896.48 and 533.72 is: 801.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.65 : 1,896.48 = 533.72 : x
  2. Step 2: Convert to fraction form
    1,263.65/1,896.48 = 533.72/x
  3. Step 3: Cross multiply
    1,263.65x = 1,896.48 × 533.72
  4. Step 4: Simplify right side
    1,263.65x = 1,012,194.05
  5. Step 5: Solve for x
    x = 1,012,194.05/1,263.65
  6. Step 6: Final answer
    x = 801.01

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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.