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Finding the Fourth Proportional to 682.96, 935.91 and 617.35

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Solution

The fourth proportional to 682.96, 935.91 and 617.35 is: 846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.96 : 935.91 = 617.35 : x
  2. Step 2: Convert to fraction form
    682.96/935.91 = 617.35/x
  3. Step 3: Cross multiply
    682.96x = 935.91 × 617.35
  4. Step 4: Simplify right side
    682.96x = 577,784.04
  5. Step 5: Solve for x
    x = 577,784.04/682.96
  6. Step 6: Final answer
    x = 846.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.