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Finding the Fourth Proportional to 633.42, 948.93 and 359.71

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Solution

The fourth proportional to 633.42, 948.93 and 359.71 is: 538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.42 : 948.93 = 359.71 : x
  2. Step 2: Convert to fraction form
    633.42/948.93 = 359.71/x
  3. Step 3: Cross multiply
    633.42x = 948.93 × 359.71
  4. Step 4: Simplify right side
    633.42x = 341,339.61
  5. Step 5: Solve for x
    x = 341,339.61/633.42
  6. Step 6: Final answer
    x = 538.88

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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.