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Finding the Fourth Proportional to 523.12, 722.06 and 313.44

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Solution

The fourth proportional to 523.12, 722.06 and 313.44 is: 432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.12 : 722.06 = 313.44 : x
  2. Step 2: Convert to fraction form
    523.12/722.06 = 313.44/x
  3. Step 3: Cross multiply
    523.12x = 722.06 × 313.44
  4. Step 4: Simplify right side
    523.12x = 226,322.49
  5. Step 5: Solve for x
    x = 226,322.49/523.12
  6. Step 6: Final answer
    x = 432.64

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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.