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Finding the Fourth Proportional to 525.45, 788.13 and 319.97

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Solution

The fourth proportional to 525.45, 788.13 and 319.97 is: 479.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.45 : 788.13 = 319.97 : x
  2. Step 2: Convert to fraction form
    525.45/788.13 = 319.97/x
  3. Step 3: Cross multiply
    525.45x = 788.13 × 319.97
  4. Step 4: Simplify right side
    525.45x = 252,174.02
  5. Step 5: Solve for x
    x = 252,174.02/525.45
  6. Step 6: Final answer
    x = 479.92

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Similar ratio
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1.5x scale

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.