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Finding the Fourth Proportional to 1,263.47, 1,896 and 671.03

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Solution

The fourth proportional to 1,263.47, 1,896 and 671.03 is: 1,006.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.47 : 1,896 = 671.03 : x
  2. Step 2: Convert to fraction form
    1,263.47/1,896 = 671.03/x
  3. Step 3: Cross multiply
    1,263.47x = 1,896 × 671.03
  4. Step 4: Simplify right side
    1,263.47x = 1,272,272.88
  5. Step 5: Solve for x
    x = 1,272,272.88/1,263.47
  6. Step 6: Final answer
    x = 1,006.97

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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.