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Finding the Fourth Proportional to 493.68, 736.77 and 439.01

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Solution

The fourth proportional to 493.68, 736.77 and 439.01 is: 655.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.68 : 736.77 = 439.01 : x
  2. Step 2: Convert to fraction form
    493.68/736.77 = 439.01/x
  3. Step 3: Cross multiply
    493.68x = 736.77 × 439.01
  4. Step 4: Simplify right side
    493.68x = 323,449.40
  5. Step 5: Solve for x
    x = 323,449.40/493.68
  6. Step 6: Final answer
    x = 655.18

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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.