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Finding the Fourth Proportional to 634.69, 947.48 and 541.75

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Solution

The fourth proportional to 634.69, 947.48 and 541.75 is: 808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.69 : 947.48 = 541.75 : x
  2. Step 2: Convert to fraction form
    634.69/947.48 = 541.75/x
  3. Step 3: Cross multiply
    634.69x = 947.48 × 541.75
  4. Step 4: Simplify right side
    634.69x = 513,297.29
  5. Step 5: Solve for x
    x = 513,297.29/634.69
  6. Step 6: Final answer
    x = 808.74

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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.