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Finding the Fourth Proportional to 949.76, 1,423.36 and 780.80

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Solution

The fourth proportional to 949.76, 1,423.36 and 780.80 is: 1,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.76 : 1,423.36 = 780.80 : x
  2. Step 2: Convert to fraction form
    949.76/1,423.36 = 780.80/x
  3. Step 3: Cross multiply
    949.76x = 1,423.36 × 780.80
  4. Step 4: Simplify right side
    949.76x = 1,111,359.49
  5. Step 5: Solve for x
    x = 1,111,359.49/949.76
  6. Step 6: Final answer
    x = 1,170.15

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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.