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Finding the Fourth Proportional to 632.56, 947.28 and 388.48

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Solution

The fourth proportional to 632.56, 947.28 and 388.48 is: 581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.56 : 947.28 = 388.48 : x
  2. Step 2: Convert to fraction form
    632.56/947.28 = 388.48/x
  3. Step 3: Cross multiply
    632.56x = 947.28 × 388.48
  4. Step 4: Simplify right side
    632.56x = 367,999.33
  5. Step 5: Solve for x
    x = 367,999.33/632.56
  6. Step 6: Final answer
    x = 581.76

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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.