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Finding the Fourth Proportional to 595.85, 891.93 and 431.21

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Solution

The fourth proportional to 595.85, 891.93 and 431.21 is: 645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.85 : 891.93 = 431.21 : x
  2. Step 2: Convert to fraction form
    595.85/891.93 = 431.21/x
  3. Step 3: Cross multiply
    595.85x = 891.93 × 431.21
  4. Step 4: Simplify right side
    595.85x = 384,604.68
  5. Step 5: Solve for x
    x = 384,604.68/595.85
  6. Step 6: Final answer
    x = 645.48

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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.