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Finding the Fourth Proportional to 550.90, 823.15 and 464.50

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Solution

The fourth proportional to 550.90, 823.15 and 464.50 is: 694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.90 : 823.15 = 464.50 : x
  2. Step 2: Convert to fraction form
    550.90/823.15 = 464.50/x
  3. Step 3: Cross multiply
    550.90x = 823.15 × 464.50
  4. Step 4: Simplify right side
    550.90x = 382,353.18
  5. Step 5: Solve for x
    x = 382,353.18/550.90
  6. Step 6: Final answer
    x = 694.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.