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Finding the Fourth Proportional to 523.63, 722.62 and 357.84

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Solution

The fourth proportional to 523.63, 722.62 and 357.84 is: 493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.63 : 722.62 = 357.84 : x
  2. Step 2: Convert to fraction form
    523.63/722.62 = 357.84/x
  3. Step 3: Cross multiply
    523.63x = 722.62 × 357.84
  4. Step 4: Simplify right side
    523.63x = 258,582.34
  5. Step 5: Solve for x
    x = 258,582.34/523.63
  6. Step 6: Final answer
    x = 493.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.