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Finding the Fourth Proportional to 505.84, 701.26 and 482.32

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Solution

The fourth proportional to 505.84, 701.26 and 482.32 is: 668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.84 : 701.26 = 482.32 : x
  2. Step 2: Convert to fraction form
    505.84/701.26 = 482.32/x
  3. Step 3: Cross multiply
    505.84x = 701.26 × 482.32
  4. Step 4: Simplify right side
    505.84x = 338,231.72
  5. Step 5: Solve for x
    x = 338,231.72/505.84
  6. Step 6: Final answer
    x = 668.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.