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Finding the Fourth Proportional to 940.67, 1,297.99 and 536.90

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Solution

The fourth proportional to 940.67, 1,297.99 and 536.90 is: 740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.67 : 1,297.99 = 536.90 : x
  2. Step 2: Convert to fraction form
    940.67/1,297.99 = 536.90/x
  3. Step 3: Cross multiply
    940.67x = 1,297.99 × 536.90
  4. Step 4: Simplify right side
    940.67x = 696,888.15
  5. Step 5: Solve for x
    x = 696,888.15/940.67
  6. Step 6: Final answer
    x = 740.85

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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.