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Finding the Fourth Proportional to 766.63, 1,057.43 and 472.07

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Solution

The fourth proportional to 766.63, 1,057.43 and 472.07 is: 651.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.63 : 1,057.43 = 472.07 : x
  2. Step 2: Convert to fraction form
    766.63/1,057.43 = 472.07/x
  3. Step 3: Cross multiply
    766.63x = 1,057.43 × 472.07
  4. Step 4: Simplify right side
    766.63x = 499,184.80
  5. Step 5: Solve for x
    x = 499,184.80/766.63
  6. Step 6: Final answer
    x = 651.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.