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Finding the Fourth Proportional to 474.51, 650.64 and 427.70

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Solution

The fourth proportional to 474.51, 650.64 and 427.70 is: 586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.51 : 650.64 = 427.70 : x
  2. Step 2: Convert to fraction form
    474.51/650.64 = 427.70/x
  3. Step 3: Cross multiply
    474.51x = 650.64 × 427.70
  4. Step 4: Simplify right side
    474.51x = 278,273.34
  5. Step 5: Solve for x
    x = 278,273.34/474.51
  6. Step 6: Final answer
    x = 586.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.