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Finding the Fourth Proportional to 474.12, 713.88 and 330.75

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Solution

The fourth proportional to 474.12, 713.88 and 330.75 is: 498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.12 : 713.88 = 330.75 : x
  2. Step 2: Convert to fraction form
    474.12/713.88 = 330.75/x
  3. Step 3: Cross multiply
    474.12x = 713.88 × 330.75
  4. Step 4: Simplify right side
    474.12x = 236,115.81
  5. Step 5: Solve for x
    x = 236,115.81/474.12
  6. Step 6: Final answer
    x = 498.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.