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Finding the Fourth Proportional to 505.29, 757.62 and 288.57

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Solution

The fourth proportional to 505.29, 757.62 and 288.57 is: 432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.29 : 757.62 = 288.57 : x
  2. Step 2: Convert to fraction form
    505.29/757.62 = 288.57/x
  3. Step 3: Cross multiply
    505.29x = 757.62 × 288.57
  4. Step 4: Simplify right side
    505.29x = 218,626.40
  5. Step 5: Solve for x
    x = 218,626.40/505.29
  6. Step 6: Final answer
    x = 432.68

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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.