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Finding the Fourth Proportional to 766.42, 1,057.64 and 417.11

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Solution

The fourth proportional to 766.42, 1,057.64 and 417.11 is: 575.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.42 : 1,057.64 = 417.11 : x
  2. Step 2: Convert to fraction form
    766.42/1,057.64 = 417.11/x
  3. Step 3: Cross multiply
    766.42x = 1,057.64 × 417.11
  4. Step 4: Simplify right side
    766.42x = 441,144.85
  5. Step 5: Solve for x
    x = 441,144.85/766.42
  6. Step 6: Final answer
    x = 575.59

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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.