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Finding the Fourth Proportional to 674.92, 935.19 and 659.80

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Solution

The fourth proportional to 674.92, 935.19 and 659.80 is: 914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.92 : 935.19 = 659.80 : x
  2. Step 2: Convert to fraction form
    674.92/935.19 = 659.80/x
  3. Step 3: Cross multiply
    674.92x = 935.19 × 659.80
  4. Step 4: Simplify right side
    674.92x = 617,038.36
  5. Step 5: Solve for x
    x = 617,038.36/674.92
  6. Step 6: Final answer
    x = 914.24

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Why These Related Problems?

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