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Finding the Fourth Proportional to 893.08, 1,339.12 and 344.88

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Solution

The fourth proportional to 893.08, 1,339.12 and 344.88 is: 517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.08 : 1,339.12 = 344.88 : x
  2. Step 2: Convert to fraction form
    893.08/1,339.12 = 344.88/x
  3. Step 3: Cross multiply
    893.08x = 1,339.12 × 344.88
  4. Step 4: Simplify right side
    893.08x = 461,835.71
  5. Step 5: Solve for x
    x = 461,835.71/893.08
  6. Step 6: Final answer
    x = 517.13

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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.