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Finding the Fourth Proportional to 523.96, 785.70 and 235.39

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Solution

The fourth proportional to 523.96, 785.70 and 235.39 is: 352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.96 : 785.70 = 235.39 : x
  2. Step 2: Convert to fraction form
    523.96/785.70 = 235.39/x
  3. Step 3: Cross multiply
    523.96x = 785.70 × 235.39
  4. Step 4: Simplify right side
    523.96x = 184,945.92
  5. Step 5: Solve for x
    x = 184,945.92/523.96
  6. Step 6: Final answer
    x = 352.98

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Similar ratio
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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.