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Finding the Fourth Proportional to 523.68, 721.03 and 444.84

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Solution

The fourth proportional to 523.68, 721.03 and 444.84 is: 612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.68 : 721.03 = 444.84 : x
  2. Step 2: Convert to fraction form
    523.68/721.03 = 444.84/x
  3. Step 3: Cross multiply
    523.68x = 721.03 × 444.84
  4. Step 4: Simplify right side
    523.68x = 320,742.99
  5. Step 5: Solve for x
    x = 320,742.99/523.68
  6. Step 6: Final answer
    x = 612.48

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1.5x scale

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.