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Finding the Fourth Proportional to 703.68, 971.36 and 617.28

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Solution

The fourth proportional to 703.68, 971.36 and 617.28 is: 852.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.68 : 971.36 = 617.28 : x
  2. Step 2: Convert to fraction form
    703.68/971.36 = 617.28/x
  3. Step 3: Cross multiply
    703.68x = 971.36 × 617.28
  4. Step 4: Simplify right side
    703.68x = 599,601.10
  5. Step 5: Solve for x
    x = 599,601.10/703.68
  6. Step 6: Final answer
    x = 852.09

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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.