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Finding the Fourth Proportional to 634.20, 947.55 and 634.20

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Solution

The fourth proportional to 634.20, 947.55 and 634.20 is: 947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.20 : 947.55 = 634.20 : x
  2. Step 2: Convert to fraction form
    634.20/947.55 = 634.20/x
  3. Step 3: Cross multiply
    634.20x = 947.55 × 634.20
  4. Step 4: Simplify right side
    634.20x = 600,936.21
  5. Step 5: Solve for x
    x = 600,936.21/634.20
  6. Step 6: Final answer
    x = 947.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.