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Finding the Fourth Proportional to 1,264.12, 1,896.63 and 647.98

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Solution

The fourth proportional to 1,264.12, 1,896.63 and 647.98 is: 972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.12 : 1,896.63 = 647.98 : x
  2. Step 2: Convert to fraction form
    1,264.12/1,896.63 = 647.98/x
  3. Step 3: Cross multiply
    1,264.12x = 1,896.63 × 647.98
  4. Step 4: Simplify right side
    1,264.12x = 1,228,978.31
  5. Step 5: Solve for x
    x = 1,228,978.31/1,264.12
  6. Step 6: Final answer
    x = 972.20

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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.