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Finding the Fourth Proportional to 505.58, 754.18 and 490.66

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Solution

The fourth proportional to 505.58, 754.18 and 490.66 is: 731.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.58 : 754.18 = 490.66 : x
  2. Step 2: Convert to fraction form
    505.58/754.18 = 490.66/x
  3. Step 3: Cross multiply
    505.58x = 754.18 × 490.66
  4. Step 4: Simplify right side
    505.58x = 370,042.85
  5. Step 5: Solve for x
    x = 370,042.85/505.58
  6. Step 6: Final answer
    x = 731.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.