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Finding the Fourth Proportional to 648.72, 973.40 and 475.56

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Solution

The fourth proportional to 648.72, 973.40 and 475.56 is: 713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.72 : 973.40 = 475.56 : x
  2. Step 2: Convert to fraction form
    648.72/973.40 = 475.56/x
  3. Step 3: Cross multiply
    648.72x = 973.40 × 475.56
  4. Step 4: Simplify right side
    648.72x = 462,910.10
  5. Step 5: Solve for x
    x = 462,910.10/648.72
  6. Step 6: Final answer
    x = 713.57

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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.