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Finding the Fourth Proportional to 632.18, 947.43 and 485.37

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Solution

The fourth proportional to 632.18, 947.43 and 485.37 is: 727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.18 : 947.43 = 485.37 : x
  2. Step 2: Convert to fraction form
    632.18/947.43 = 485.37/x
  3. Step 3: Cross multiply
    632.18x = 947.43 × 485.37
  4. Step 4: Simplify right side
    632.18x = 459,854.10
  5. Step 5: Solve for x
    x = 459,854.10/632.18
  6. Step 6: Final answer
    x = 727.41

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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.