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Finding the Fourth Proportional to 634.61, 948.80 and 538.19

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Solution

The fourth proportional to 634.61, 948.80 and 538.19 is: 804.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.61 : 948.80 = 538.19 : x
  2. Step 2: Convert to fraction form
    634.61/948.80 = 538.19/x
  3. Step 3: Cross multiply
    634.61x = 948.80 × 538.19
  4. Step 4: Simplify right side
    634.61x = 510,627.24
  5. Step 5: Solve for x
    x = 510,627.24/634.61
  6. Step 6: Final answer
    x = 804.64

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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.