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Finding the Fourth Proportional to 505.15, 754.47 and 412.81

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Solution

The fourth proportional to 505.15, 754.47 and 412.81 is: 616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.15 : 754.47 = 412.81 : x
  2. Step 2: Convert to fraction form
    505.15/754.47 = 412.81/x
  3. Step 3: Cross multiply
    505.15x = 754.47 × 412.81
  4. Step 4: Simplify right side
    505.15x = 311,450.87
  5. Step 5: Solve for x
    x = 311,450.87/505.15
  6. Step 6: Final answer
    x = 616.55

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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.