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Finding the Fourth Proportional to 766.66, 1,057.98 and 417.34

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Solution

The fourth proportional to 766.66, 1,057.98 and 417.34 is: 575.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.66 : 1,057.98 = 417.34 : x
  2. Step 2: Convert to fraction form
    766.66/1,057.98 = 417.34/x
  3. Step 3: Cross multiply
    766.66x = 1,057.98 × 417.34
  4. Step 4: Simplify right side
    766.66x = 441,537.37
  5. Step 5: Solve for x
    x = 441,537.37/766.66
  6. Step 6: Final answer
    x = 575.92

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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.