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Finding the Fourth Proportional to 634.30, 949.61 and 390.08

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Solution

The fourth proportional to 634.30, 949.61 and 390.08 is: 584.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.30 : 949.61 = 390.08 : x
  2. Step 2: Convert to fraction form
    634.30/949.61 = 390.08/x
  3. Step 3: Cross multiply
    634.30x = 949.61 × 390.08
  4. Step 4: Simplify right side
    634.30x = 370,427.22
  5. Step 5: Solve for x
    x = 370,427.22/634.30
  6. Step 6: Final answer
    x = 584.00

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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.