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Finding the Fourth Proportional to 525.67, 788.57 and 281.86

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Solution

The fourth proportional to 525.67, 788.57 and 281.86 is: 422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.67 : 788.57 = 281.86 : x
  2. Step 2: Convert to fraction form
    525.67/788.57 = 281.86/x
  3. Step 3: Cross multiply
    525.67x = 788.57 × 281.86
  4. Step 4: Simplify right side
    525.67x = 222,266.34
  5. Step 5: Solve for x
    x = 222,266.34/525.67
  6. Step 6: Final answer
    x = 422.82

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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.