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Finding the Fourth Proportional to 474.55, 713.02 and 301.30

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Solution

The fourth proportional to 474.55, 713.02 and 301.30 is: 452.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.55 : 713.02 = 301.30 : x
  2. Step 2: Convert to fraction form
    474.55/713.02 = 301.30/x
  3. Step 3: Cross multiply
    474.55x = 713.02 × 301.30
  4. Step 4: Simplify right side
    474.55x = 214,832.59
  5. Step 5: Solve for x
    x = 214,832.59/474.55
  6. Step 6: Final answer
    x = 452.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.