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Finding the Fourth Proportional to 685.42, 1,028.23 and 223.08

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Solution

The fourth proportional to 685.42, 1,028.23 and 223.08 is: 334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.42 : 1,028.23 = 223.08 : x
  2. Step 2: Convert to fraction form
    685.42/1,028.23 = 223.08/x
  3. Step 3: Cross multiply
    685.42x = 1,028.23 × 223.08
  4. Step 4: Simplify right side
    685.42x = 229,373.13
  5. Step 5: Solve for x
    x = 229,373.13/685.42
  6. Step 6: Final answer
    x = 334.65

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.