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Finding the Fourth Proportional to 633.40, 948.66 and 376.36

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Solution

The fourth proportional to 633.40, 948.66 and 376.36 is: 563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.40 : 948.66 = 376.36 : x
  2. Step 2: Convert to fraction form
    633.40/948.66 = 376.36/x
  3. Step 3: Cross multiply
    633.40x = 948.66 × 376.36
  4. Step 4: Simplify right side
    633.40x = 357,037.68
  5. Step 5: Solve for x
    x = 357,037.68/633.40
  6. Step 6: Final answer
    x = 563.68

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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.