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Finding the Fourth Proportional to 539.85, 805.08 and 493.68

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Solution

The fourth proportional to 539.85, 805.08 and 493.68 is: 736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.85 : 805.08 = 493.68 : x
  2. Step 2: Convert to fraction form
    539.85/805.08 = 493.68/x
  3. Step 3: Cross multiply
    539.85x = 805.08 × 493.68
  4. Step 4: Simplify right side
    539.85x = 397,451.89
  5. Step 5: Solve for x
    x = 397,451.89/539.85
  6. Step 6: Final answer
    x = 736.23

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1.5x scale

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.