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Finding the Fourth Proportional to 766.02, 1,148.20 and 440.66

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Solution

The fourth proportional to 766.02, 1,148.20 and 440.66 is: 660.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.02 : 1,148.20 = 440.66 : x
  2. Step 2: Convert to fraction form
    766.02/1,148.20 = 440.66/x
  3. Step 3: Cross multiply
    766.02x = 1,148.20 × 440.66
  4. Step 4: Simplify right side
    766.02x = 505,965.81
  5. Step 5: Solve for x
    x = 505,965.81/766.02
  6. Step 6: Final answer
    x = 660.51

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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.