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Finding the Fourth Proportional to 968.93, 1,454.60 and 764.20

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Solution

The fourth proportional to 968.93, 1,454.60 and 764.20 is: 1,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.93 : 1,454.60 = 764.20 : x
  2. Step 2: Convert to fraction form
    968.93/1,454.60 = 764.20/x
  3. Step 3: Cross multiply
    968.93x = 1,454.60 × 764.20
  4. Step 4: Simplify right side
    968.93x = 1,111,605.32
  5. Step 5: Solve for x
    x = 1,111,605.32/968.93
  6. Step 6: Final answer
    x = 1,147.25

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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.