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Finding the Fourth Proportional to 676.95, 1,014.54 and 368.88

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Solution

The fourth proportional to 676.95, 1,014.54 and 368.88 is: 552.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.95 : 1,014.54 = 368.88 : x
  2. Step 2: Convert to fraction form
    676.95/1,014.54 = 368.88/x
  3. Step 3: Cross multiply
    676.95x = 1,014.54 × 368.88
  4. Step 4: Simplify right side
    676.95x = 374,238.44
  5. Step 5: Solve for x
    x = 374,238.44/676.95
  6. Step 6: Final answer
    x = 552.83

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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.