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Finding the Fourth Proportional to 949.58, 1,421.73 and 717.76

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Solution

The fourth proportional to 949.58, 1,421.73 and 717.76 is: 1,074.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.58 : 1,421.73 = 717.76 : x
  2. Step 2: Convert to fraction form
    949.58/1,421.73 = 717.76/x
  3. Step 3: Cross multiply
    949.58x = 1,421.73 × 717.76
  4. Step 4: Simplify right side
    949.58x = 1,020,460.92
  5. Step 5: Solve for x
    x = 1,020,460.92/949.58
  6. Step 6: Final answer
    x = 1,074.64

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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.