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Finding the Fourth Proportional to 893.48, 1,339.01 and 546.94

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Solution

The fourth proportional to 893.48, 1,339.01 and 546.94 is: 819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.48 : 1,339.01 = 546.94 : x
  2. Step 2: Convert to fraction form
    893.48/1,339.01 = 546.94/x
  3. Step 3: Cross multiply
    893.48x = 1,339.01 × 546.94
  4. Step 4: Simplify right side
    893.48x = 732,348.70
  5. Step 5: Solve for x
    x = 732,348.70/893.48
  6. Step 6: Final answer
    x = 819.66

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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.