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Finding the Fourth Proportional to 766.89, 1,058.31 and 417.60

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Solution

The fourth proportional to 766.89, 1,058.31 and 417.60 is: 576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.89 : 1,058.31 = 417.60 : x
  2. Step 2: Convert to fraction form
    766.89/1,058.31 = 417.60/x
  3. Step 3: Cross multiply
    766.89x = 1,058.31 × 417.60
  4. Step 4: Simplify right side
    766.89x = 441,950.26
  5. Step 5: Solve for x
    x = 441,950.26/766.89
  6. Step 6: Final answer
    x = 576.29

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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.