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Finding the Fourth Proportional to 505.71, 760.07 and 419.61

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Solution

The fourth proportional to 505.71, 760.07 and 419.61 is: 630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.71 : 760.07 = 419.61 : x
  2. Step 2: Convert to fraction form
    505.71/760.07 = 419.61/x
  3. Step 3: Cross multiply
    505.71x = 760.07 × 419.61
  4. Step 4: Simplify right side
    505.71x = 318,930.87
  5. Step 5: Solve for x
    x = 318,930.87/505.71
  6. Step 6: Final answer
    x = 630.66

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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.