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Finding the Fourth Proportional to 805.43, 1,208.32 and 415.53

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Solution

The fourth proportional to 805.43, 1,208.32 and 415.53 is: 623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.43 : 1,208.32 = 415.53 : x
  2. Step 2: Convert to fraction form
    805.43/1,208.32 = 415.53/x
  3. Step 3: Cross multiply
    805.43x = 1,208.32 × 415.53
  4. Step 4: Simplify right side
    805.43x = 502,092.17
  5. Step 5: Solve for x
    x = 502,092.17/805.43
  6. Step 6: Final answer
    x = 623.38

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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.