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Finding the Fourth Proportional to 523.99, 785.52 and 447.44

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Solution

The fourth proportional to 523.99, 785.52 and 447.44 is: 670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.99 : 785.52 = 447.44 : x
  2. Step 2: Convert to fraction form
    523.99/785.52 = 447.44/x
  3. Step 3: Cross multiply
    523.99x = 785.52 × 447.44
  4. Step 4: Simplify right side
    523.99x = 351,470.83
  5. Step 5: Solve for x
    x = 351,470.83/523.99
  6. Step 6: Final answer
    x = 670.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.