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Finding the Fourth Proportional to 893.57, 1,339.34 and 482.90

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Solution

The fourth proportional to 893.57, 1,339.34 and 482.90 is: 723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.57 : 1,339.34 = 482.90 : x
  2. Step 2: Convert to fraction form
    893.57/1,339.34 = 482.90/x
  3. Step 3: Cross multiply
    893.57x = 1,339.34 × 482.90
  4. Step 4: Simplify right side
    893.57x = 646,758.17
  5. Step 5: Solve for x
    x = 646,758.17/893.57
  6. Step 6: Final answer
    x = 723.80

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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.