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Finding the Fourth Proportional to 678.02, 934.83 and 584.60

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Solution

The fourth proportional to 678.02, 934.83 and 584.60 is: 806.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.02 : 934.83 = 584.60 : x
  2. Step 2: Convert to fraction form
    678.02/934.83 = 584.60/x
  3. Step 3: Cross multiply
    678.02x = 934.83 × 584.60
  4. Step 4: Simplify right side
    678.02x = 546,496.94
  5. Step 5: Solve for x
    x = 546,496.94/678.02
  6. Step 6: Final answer
    x = 806.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.