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Finding the Fourth Proportional to 550.86, 760.15 and 419.64

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Solution

The fourth proportional to 550.86, 760.15 and 419.64 is: 579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.86 : 760.15 = 419.64 : x
  2. Step 2: Convert to fraction form
    550.86/760.15 = 419.64/x
  3. Step 3: Cross multiply
    550.86x = 760.15 × 419.64
  4. Step 4: Simplify right side
    550.86x = 318,988.30
  5. Step 5: Solve for x
    x = 318,988.30/550.86
  6. Step 6: Final answer
    x = 579.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.