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Finding the Fourth Proportional to 939.35, 1,296.23 and 546.30

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Solution

The fourth proportional to 939.35, 1,296.23 and 546.30 is: 753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.35 : 1,296.23 = 546.30 : x
  2. Step 2: Convert to fraction form
    939.35/1,296.23 = 546.30/x
  3. Step 3: Cross multiply
    939.35x = 1,296.23 × 546.30
  4. Step 4: Simplify right side
    939.35x = 708,127.72
  5. Step 5: Solve for x
    x = 708,127.72/939.35
  6. Step 6: Final answer
    x = 753.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.