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Finding the Fourth Proportional to 505.06, 756.63 and 287.98

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Solution

The fourth proportional to 505.06, 756.63 and 287.98 is: 431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.06 : 756.63 = 287.98 : x
  2. Step 2: Convert to fraction form
    505.06/756.63 = 287.98/x
  3. Step 3: Cross multiply
    505.06x = 756.63 × 287.98
  4. Step 4: Simplify right side
    505.06x = 217,894.31
  5. Step 5: Solve for x
    x = 217,894.31/505.06
  6. Step 6: Final answer
    x = 431.42

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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.