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Finding the Fourth Proportional to 595.45, 891.82 and 550.49

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Solution

The fourth proportional to 595.45, 891.82 and 550.49 is: 824.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.45 : 891.82 = 550.49 : x
  2. Step 2: Convert to fraction form
    595.45/891.82 = 550.49/x
  3. Step 3: Cross multiply
    595.45x = 891.82 × 550.49
  4. Step 4: Simplify right side
    595.45x = 490,935.24
  5. Step 5: Solve for x
    x = 490,935.24/595.45
  6. Step 6: Final answer
    x = 824.48

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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.