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Finding the Fourth Proportional to 693.23, 949.58 and 684.35

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Solution

The fourth proportional to 693.23, 949.58 and 684.35 is: 937.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.23 : 949.58 = 684.35 : x
  2. Step 2: Convert to fraction form
    693.23/949.58 = 684.35/x
  3. Step 3: Cross multiply
    693.23x = 949.58 × 684.35
  4. Step 4: Simplify right side
    693.23x = 649,843.51
  5. Step 5: Solve for x
    x = 649,843.51/693.23
  6. Step 6: Final answer
    x = 937.41

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Half scale
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Double scale
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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.