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Finding the Fourth Proportional to 550.76, 824.52 and 405.50

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Solution

The fourth proportional to 550.76, 824.52 and 405.50 is: 607.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.76 : 824.52 = 405.50 : x
  2. Step 2: Convert to fraction form
    550.76/824.52 = 405.50/x
  3. Step 3: Cross multiply
    550.76x = 824.52 × 405.50
  4. Step 4: Simplify right side
    550.76x = 334,342.86
  5. Step 5: Solve for x
    x = 334,342.86/550.76
  6. Step 6: Final answer
    x = 607.06

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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.