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Finding the Fourth Proportional to 766.92, 1,058.36 and 417.62

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Solution

The fourth proportional to 766.92, 1,058.36 and 417.62 is: 576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.92 : 1,058.36 = 417.62 : x
  2. Step 2: Convert to fraction form
    766.92/1,058.36 = 417.62/x
  3. Step 3: Cross multiply
    766.92x = 1,058.36 × 417.62
  4. Step 4: Simplify right side
    766.92x = 441,984.92
  5. Step 5: Solve for x
    x = 441,984.92/766.92
  6. Step 6: Final answer
    x = 576.31

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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.