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Finding the Fourth Proportional to 632.58, 947.52 and 548.34

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Solution

The fourth proportional to 632.58, 947.52 and 548.34 is: 821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.58 : 947.52 = 548.34 : x
  2. Step 2: Convert to fraction form
    632.58/947.52 = 548.34/x
  3. Step 3: Cross multiply
    632.58x = 947.52 × 548.34
  4. Step 4: Simplify right side
    632.58x = 519,563.12
  5. Step 5: Solve for x
    x = 519,563.12/632.58
  6. Step 6: Final answer
    x = 821.34

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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.