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Finding the Fourth Proportional to 523.56, 722.24 and 327.19

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Solution

The fourth proportional to 523.56, 722.24 and 327.19 is: 451.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.56 : 722.24 = 327.19 : x
  2. Step 2: Convert to fraction form
    523.56/722.24 = 327.19/x
  3. Step 3: Cross multiply
    523.56x = 722.24 × 327.19
  4. Step 4: Simplify right side
    523.56x = 236,309.77
  5. Step 5: Solve for x
    x = 236,309.77/523.56
  6. Step 6: Final answer
    x = 451.35

Related Problems

Find fourth proportional to 261.78, 361.12 and 163.59
Half scale
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Double scale
Find fourth proportional to 524.56, 723.62 and 328.19
Similar ratio
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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.