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Finding the Fourth Proportional to 505.26, 761.35 and 415.96

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Solution

The fourth proportional to 505.26, 761.35 and 415.96 is: 626.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.26 : 761.35 = 415.96 : x
  2. Step 2: Convert to fraction form
    505.26/761.35 = 415.96/x
  3. Step 3: Cross multiply
    505.26x = 761.35 × 415.96
  4. Step 4: Simplify right side
    505.26x = 316,691.15
  5. Step 5: Solve for x
    x = 316,691.15/505.26
  6. Step 6: Final answer
    x = 626.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.