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Finding the Fourth Proportional to 634.36, 947.34 and 547.92

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Solution

The fourth proportional to 634.36, 947.34 and 547.92 is: 818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.36 : 947.34 = 547.92 : x
  2. Step 2: Convert to fraction form
    634.36/947.34 = 547.92/x
  3. Step 3: Cross multiply
    634.36x = 947.34 × 547.92
  4. Step 4: Simplify right side
    634.36x = 519,066.53
  5. Step 5: Solve for x
    x = 519,066.53/634.36
  6. Step 6: Final answer
    x = 818.25

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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.