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Finding the Fourth Proportional to 949.80, 1,424.70 and 828.30

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Solution

The fourth proportional to 949.80, 1,424.70 and 828.30 is: 1,242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.80 : 1,424.70 = 828.30 : x
  2. Step 2: Convert to fraction form
    949.80/1,424.70 = 828.30/x
  3. Step 3: Cross multiply
    949.80x = 1,424.70 × 828.30
  4. Step 4: Simplify right side
    949.80x = 1,180,079.01
  5. Step 5: Solve for x
    x = 1,180,079.01/949.80
  6. Step 6: Final answer
    x = 1,242.45

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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.