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Finding the Fourth Proportional to 524.68, 723.64 and 338.19

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Solution

The fourth proportional to 524.68, 723.64 and 338.19 is: 466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.68 : 723.64 = 338.19 : x
  2. Step 2: Convert to fraction form
    524.68/723.64 = 338.19/x
  3. Step 3: Cross multiply
    524.68x = 723.64 × 338.19
  4. Step 4: Simplify right side
    524.68x = 244,727.81
  5. Step 5: Solve for x
    x = 244,727.81/524.68
  6. Step 6: Final answer
    x = 466.43

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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.