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Finding the Fourth Proportional to 682.65, 935.01 and 642.76

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Solution

The fourth proportional to 682.65, 935.01 and 642.76 is: 880.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.65 : 935.01 = 642.76 : x
  2. Step 2: Convert to fraction form
    682.65/935.01 = 642.76/x
  3. Step 3: Cross multiply
    682.65x = 935.01 × 642.76
  4. Step 4: Simplify right side
    682.65x = 600,987.03
  5. Step 5: Solve for x
    x = 600,987.03/682.65
  6. Step 6: Final answer
    x = 880.37

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1.5x scale

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.