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Finding the Fourth Proportional to 648.54, 973.42 and 432.27

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Solution

The fourth proportional to 648.54, 973.42 and 432.27 is: 648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.54 : 973.42 = 432.27 : x
  2. Step 2: Convert to fraction form
    648.54/973.42 = 432.27/x
  3. Step 3: Cross multiply
    648.54x = 973.42 × 432.27
  4. Step 4: Simplify right side
    648.54x = 420,779.18
  5. Step 5: Solve for x
    x = 420,779.18/648.54
  6. Step 6: Final answer
    x = 648.81

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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.