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Finding the Fourth Proportional to 949.65, 1,421.85 and 486.43

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Solution

The fourth proportional to 949.65, 1,421.85 and 486.43 is: 728.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.65 : 1,421.85 = 486.43 : x
  2. Step 2: Convert to fraction form
    949.65/1,421.85 = 486.43/x
  3. Step 3: Cross multiply
    949.65x = 1,421.85 × 486.43
  4. Step 4: Simplify right side
    949.65x = 691,636.76
  5. Step 5: Solve for x
    x = 691,636.76/949.65
  6. Step 6: Final answer
    x = 728.31

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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.