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Finding the Fourth Proportional to 680.04, 942.74 and 643.08

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Solution

The fourth proportional to 680.04, 942.74 and 643.08 is: 891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.04 : 942.74 = 643.08 : x
  2. Step 2: Convert to fraction form
    680.04/942.74 = 643.08/x
  3. Step 3: Cross multiply
    680.04x = 942.74 × 643.08
  4. Step 4: Simplify right side
    680.04x = 606,257.24
  5. Step 5: Solve for x
    x = 606,257.24/680.04
  6. Step 6: Final answer
    x = 891.50

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.