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Finding the Fourth Proportional to 893.80, 1,339.82 and 316.20

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Solution

The fourth proportional to 893.80, 1,339.82 and 316.20 is: 473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.80 : 1,339.82 = 316.20 : x
  2. Step 2: Convert to fraction form
    893.80/1,339.82 = 316.20/x
  3. Step 3: Cross multiply
    893.80x = 1,339.82 × 316.20
  4. Step 4: Simplify right side
    893.80x = 423,651.08
  5. Step 5: Solve for x
    x = 423,651.08/893.80
  6. Step 6: Final answer
    x = 473.99

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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.