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Finding the Fourth Proportional to 682.61, 935.85 and 670.31

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Solution

The fourth proportional to 682.61, 935.85 and 670.31 is: 918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.61 : 935.85 = 670.31 : x
  2. Step 2: Convert to fraction form
    682.61/935.85 = 670.31/x
  3. Step 3: Cross multiply
    682.61x = 935.85 × 670.31
  4. Step 4: Simplify right side
    682.61x = 627,304.93
  5. Step 5: Solve for x
    x = 627,304.93/682.61
  6. Step 6: Final answer
    x = 918.99

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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.