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Finding the Fourth Proportional to 680.06, 933.48 and 604.74

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Solution

The fourth proportional to 680.06, 933.48 and 604.74 is: 830.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.06 : 933.48 = 604.74 : x
  2. Step 2: Convert to fraction form
    680.06/933.48 = 604.74/x
  3. Step 3: Cross multiply
    680.06x = 933.48 × 604.74
  4. Step 4: Simplify right side
    680.06x = 564,512.70
  5. Step 5: Solve for x
    x = 564,512.70/680.06
  6. Step 6: Final answer
    x = 830.09

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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.