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Finding the Fourth Proportional to 523.51, 785.50 and 194.55

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Solution

The fourth proportional to 523.51, 785.50 and 194.55 is: 291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.51 : 785.50 = 194.55 : x
  2. Step 2: Convert to fraction form
    523.51/785.50 = 194.55/x
  3. Step 3: Cross multiply
    523.51x = 785.50 × 194.55
  4. Step 4: Simplify right side
    523.51x = 152,820.01
  5. Step 5: Solve for x
    x = 152,820.01/523.51
  6. Step 6: Final answer
    x = 291.91

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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.