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Finding the Fourth Proportional to 523.55, 789.03 and 492.77

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Solution

The fourth proportional to 523.55, 789.03 and 492.77 is: 742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.55 : 789.03 = 492.77 : x
  2. Step 2: Convert to fraction form
    523.55/789.03 = 492.77/x
  3. Step 3: Cross multiply
    523.55x = 789.03 × 492.77
  4. Step 4: Simplify right side
    523.55x = 388,806.37
  5. Step 5: Solve for x
    x = 388,806.37/523.55
  6. Step 6: Final answer
    x = 742.64

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1.5x scale

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.