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Finding the Fourth Proportional to 525.02, 785.64 and 319.73

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Solution

The fourth proportional to 525.02, 785.64 and 319.73 is: 478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.02 : 785.64 = 319.73 : x
  2. Step 2: Convert to fraction form
    525.02/785.64 = 319.73/x
  3. Step 3: Cross multiply
    525.02x = 785.64 × 319.73
  4. Step 4: Simplify right side
    525.02x = 251,192.68
  5. Step 5: Solve for x
    x = 251,192.68/525.02
  6. Step 6: Final answer
    x = 478.44

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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.