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Finding the Fourth Proportional to 550.86, 760.79 and 428.00

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Solution

The fourth proportional to 550.86, 760.79 and 428.00 is: 591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.86 : 760.79 = 428.00 : x
  2. Step 2: Convert to fraction form
    550.86/760.79 = 428.00/x
  3. Step 3: Cross multiply
    550.86x = 760.79 × 428.00
  4. Step 4: Simplify right side
    550.86x = 325,612.18
  5. Step 5: Solve for x
    x = 325,612.18/550.86
  6. Step 6: Final answer
    x = 591.10

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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.