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Finding the Fourth Proportional to 525.79, 788.64 and 320.31

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Solution

The fourth proportional to 525.79, 788.64 and 320.31 is: 480.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.79 : 788.64 = 320.31 : x
  2. Step 2: Convert to fraction form
    525.79/788.64 = 320.31/x
  3. Step 3: Cross multiply
    525.79x = 788.64 × 320.31
  4. Step 4: Simplify right side
    525.79x = 252,609.28
  5. Step 5: Solve for x
    x = 252,609.28/525.79
  6. Step 6: Final answer
    x = 480.44

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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.