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Finding the Fourth Proportional to 766.67, 1,058.06 and 467.91

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Solution

The fourth proportional to 766.67, 1,058.06 and 467.91 is: 645.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.67 : 1,058.06 = 467.91 : x
  2. Step 2: Convert to fraction form
    766.67/1,058.06 = 467.91/x
  3. Step 3: Cross multiply
    766.67x = 1,058.06 × 467.91
  4. Step 4: Simplify right side
    766.67x = 495,078.02
  5. Step 5: Solve for x
    x = 495,078.02/766.67
  6. Step 6: Final answer
    x = 645.76

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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.