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Finding the Fourth Proportional to 525.29, 788.33 and 423.81

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Solution

The fourth proportional to 525.29, 788.33 and 423.81 is: 636.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.29 : 788.33 = 423.81 : x
  2. Step 2: Convert to fraction form
    525.29/788.33 = 423.81/x
  3. Step 3: Cross multiply
    525.29x = 788.33 × 423.81
  4. Step 4: Simplify right side
    525.29x = 334,103.20
  5. Step 5: Solve for x
    x = 334,103.20/525.29
  6. Step 6: Final answer
    x = 636.04

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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.