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Finding the Fourth Proportional to 523.05, 788.27 and 492.27

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Solution

The fourth proportional to 523.05, 788.27 and 492.27 is: 741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.05 : 788.27 = 492.27 : x
  2. Step 2: Convert to fraction form
    523.05/788.27 = 492.27/x
  3. Step 3: Cross multiply
    523.05x = 788.27 × 492.27
  4. Step 4: Simplify right side
    523.05x = 388,041.67
  5. Step 5: Solve for x
    x = 388,041.67/523.05
  6. Step 6: Final answer
    x = 741.88

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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.