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Finding the Fourth Proportional to 523.69, 780.73 and 482.59

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Solution

The fourth proportional to 523.69, 780.73 and 482.59 is: 719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.69 : 780.73 = 482.59 : x
  2. Step 2: Convert to fraction form
    523.69/780.73 = 482.59/x
  3. Step 3: Cross multiply
    523.69x = 780.73 × 482.59
  4. Step 4: Simplify right side
    523.69x = 376,770.08
  5. Step 5: Solve for x
    x = 376,770.08/523.69
  6. Step 6: Final answer
    x = 719.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.