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Finding the Fourth Proportional to 525.38, 792.86 and 522.18

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Solution

The fourth proportional to 525.38, 792.86 and 522.18 is: 788.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.38 : 792.86 = 522.18 : x
  2. Step 2: Convert to fraction form
    525.38/792.86 = 522.18/x
  3. Step 3: Cross multiply
    525.38x = 792.86 × 522.18
  4. Step 4: Simplify right side
    525.38x = 414,013.02
  5. Step 5: Solve for x
    x = 414,013.02/525.38
  6. Step 6: Final answer
    x = 788.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.