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Finding the Fourth Proportional to 505.97, 760.45 and 419.86

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Solution

The fourth proportional to 505.97, 760.45 and 419.86 is: 631.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.97 : 760.45 = 419.86 : x
  2. Step 2: Convert to fraction form
    505.97/760.45 = 419.86/x
  3. Step 3: Cross multiply
    505.97x = 760.45 × 419.86
  4. Step 4: Simplify right side
    505.97x = 319,282.54
  5. Step 5: Solve for x
    x = 319,282.54/505.97
  6. Step 6: Final answer
    x = 631.03

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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.