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Finding the Fourth Proportional to 1,264.98, 1,746.21 and 851.22

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Solution

The fourth proportional to 1,264.98, 1,746.21 and 851.22 is: 1,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.98 : 1,746.21 = 851.22 : x
  2. Step 2: Convert to fraction form
    1,264.98/1,746.21 = 851.22/x
  3. Step 3: Cross multiply
    1,264.98x = 1,746.21 × 851.22
  4. Step 4: Simplify right side
    1,264.98x = 1,486,408.88
  5. Step 5: Solve for x
    x = 1,486,408.88/1,264.98
  6. Step 6: Final answer
    x = 1,175.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.