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Finding the Fourth Proportional to 505.22, 761.31 and 415.94

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Solution

The fourth proportional to 505.22, 761.31 and 415.94 is: 626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.22 : 761.31 = 415.94 : x
  2. Step 2: Convert to fraction form
    505.22/761.31 = 415.94/x
  3. Step 3: Cross multiply
    505.22x = 761.31 × 415.94
  4. Step 4: Simplify right side
    505.22x = 316,655.47
  5. Step 5: Solve for x
    x = 316,655.47/505.22
  6. Step 6: Final answer
    x = 626.77

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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.