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Finding the Fourth Proportional to 505.15, 759.53 and 425.95

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Solution

The fourth proportional to 505.15, 759.53 and 425.95 is: 640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.15 : 759.53 = 425.95 : x
  2. Step 2: Convert to fraction form
    505.15/759.53 = 425.95/x
  3. Step 3: Cross multiply
    505.15x = 759.53 × 425.95
  4. Step 4: Simplify right side
    505.15x = 323,519.67
  5. Step 5: Solve for x
    x = 323,519.67/505.15
  6. Step 6: Final answer
    x = 640.44

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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.