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Finding the Fourth Proportional to 628.94, 941.52 and 339.50

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Solution

The fourth proportional to 628.94, 941.52 and 339.50 is: 508.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.94 : 941.52 = 339.50 : x
  2. Step 2: Convert to fraction form
    628.94/941.52 = 339.50/x
  3. Step 3: Cross multiply
    628.94x = 941.52 × 339.50
  4. Step 4: Simplify right side
    628.94x = 319,646.04
  5. Step 5: Solve for x
    x = 319,646.04/628.94
  6. Step 6: Final answer
    x = 508.23

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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.