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Finding the Fourth Proportional to 525.91, 788.83 and 319.82

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Solution

The fourth proportional to 525.91, 788.83 and 319.82 is: 479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.91 : 788.83 = 319.82 : x
  2. Step 2: Convert to fraction form
    525.91/788.83 = 319.82/x
  3. Step 3: Cross multiply
    525.91x = 788.83 × 319.82
  4. Step 4: Simplify right side
    525.91x = 252,279.67
  5. Step 5: Solve for x
    x = 252,279.67/525.91
  6. Step 6: Final answer
    x = 479.70

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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.