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Finding the Fourth Proportional to 650.42, 971.56 and 475.62

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Solution

The fourth proportional to 650.42, 971.56 and 475.62 is: 710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.42 : 971.56 = 475.62 : x
  2. Step 2: Convert to fraction form
    650.42/971.56 = 475.62/x
  3. Step 3: Cross multiply
    650.42x = 971.56 × 475.62
  4. Step 4: Simplify right side
    650.42x = 462,093.37
  5. Step 5: Solve for x
    x = 462,093.37/650.42
  6. Step 6: Final answer
    x = 710.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.