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Finding the Fourth Proportional to 525.61, 788.39 and 282.61

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Solution

The fourth proportional to 525.61, 788.39 and 282.61 is: 423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.61 : 788.39 = 282.61 : x
  2. Step 2: Convert to fraction form
    525.61/788.39 = 282.61/x
  3. Step 3: Cross multiply
    525.61x = 788.39 × 282.61
  4. Step 4: Simplify right side
    525.61x = 222,806.90
  5. Step 5: Solve for x
    x = 222,806.90/525.61
  6. Step 6: Final answer
    x = 423.90

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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.