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Finding the Fourth Proportional to 813.15, 1,122.30 and 518.37

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Solution

The fourth proportional to 813.15, 1,122.30 and 518.37 is: 715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.15 : 1,122.30 = 518.37 : x
  2. Step 2: Convert to fraction form
    813.15/1,122.30 = 518.37/x
  3. Step 3: Cross multiply
    813.15x = 1,122.30 × 518.37
  4. Step 4: Simplify right side
    813.15x = 581,766.65
  5. Step 5: Solve for x
    x = 581,766.65/813.15
  6. Step 6: Final answer
    x = 715.45

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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.