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Finding the Fourth Proportional to 688.58, 949.14 and 540.96

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Solution

The fourth proportional to 688.58, 949.14 and 540.96 is: 745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.58 : 949.14 = 540.96 : x
  2. Step 2: Convert to fraction form
    688.58/949.14 = 540.96/x
  3. Step 3: Cross multiply
    688.58x = 949.14 × 540.96
  4. Step 4: Simplify right side
    688.58x = 513,442.03
  5. Step 5: Solve for x
    x = 513,442.03/688.58
  6. Step 6: Final answer
    x = 745.66

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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.