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Finding the Fourth Proportional to 525.28, 790.92 and 464.80

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Solution

The fourth proportional to 525.28, 790.92 and 464.80 is: 699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.28 : 790.92 = 464.80 : x
  2. Step 2: Convert to fraction form
    525.28/790.92 = 464.80/x
  3. Step 3: Cross multiply
    525.28x = 790.92 × 464.80
  4. Step 4: Simplify right side
    525.28x = 367,619.62
  5. Step 5: Solve for x
    x = 367,619.62/525.28
  6. Step 6: Final answer
    x = 699.85

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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.