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Finding the Fourth Proportional to 766.35, 1,057.72 and 471.91

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Solution

The fourth proportional to 766.35, 1,057.72 and 471.91 is: 651.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.35 : 1,057.72 = 471.91 : x
  2. Step 2: Convert to fraction form
    766.35/1,057.72 = 471.91/x
  3. Step 3: Cross multiply
    766.35x = 1,057.72 × 471.91
  4. Step 4: Simplify right side
    766.35x = 499,148.65
  5. Step 5: Solve for x
    x = 499,148.65/766.35
  6. Step 6: Final answer
    x = 651.33

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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.