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Finding the Fourth Proportional to 813.90, 1,122.96 and 482.05

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Solution

The fourth proportional to 813.90, 1,122.96 and 482.05 is: 665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.90 : 1,122.96 = 482.05 : x
  2. Step 2: Convert to fraction form
    813.90/1,122.96 = 482.05/x
  3. Step 3: Cross multiply
    813.90x = 1,122.96 × 482.05
  4. Step 4: Simplify right side
    813.90x = 541,326.08
  5. Step 5: Solve for x
    x = 541,326.08/813.90
  6. Step 6: Final answer
    x = 665.10

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Why These Related Problems?

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