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Finding the Fourth Proportional to 525.55, 788.80 and 523.58

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Solution

The fourth proportional to 525.55, 788.80 and 523.58 is: 785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.55 : 788.80 = 523.58 : x
  2. Step 2: Convert to fraction form
    525.55/788.80 = 523.58/x
  3. Step 3: Cross multiply
    525.55x = 788.80 × 523.58
  4. Step 4: Simplify right side
    525.55x = 412,999.90
  5. Step 5: Solve for x
    x = 412,999.90/525.55
  6. Step 6: Final answer
    x = 785.84

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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.