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Finding the Fourth Proportional to 505.90, 759.48 and 369.82

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Solution

The fourth proportional to 505.90, 759.48 and 369.82 is: 555.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.90 : 759.48 = 369.82 : x
  2. Step 2: Convert to fraction form
    505.90/759.48 = 369.82/x
  3. Step 3: Cross multiply
    505.90x = 759.48 × 369.82
  4. Step 4: Simplify right side
    505.90x = 280,870.89
  5. Step 5: Solve for x
    x = 280,870.89/505.90
  6. Step 6: Final answer
    x = 555.19

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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.