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Finding the Fourth Proportional to 766.99, 1,058.26 and 452.27

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Solution

The fourth proportional to 766.99, 1,058.26 and 452.27 is: 624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.99 : 1,058.26 = 452.27 : x
  2. Step 2: Convert to fraction form
    766.99/1,058.26 = 452.27/x
  3. Step 3: Cross multiply
    766.99x = 1,058.26 × 452.27
  4. Step 4: Simplify right side
    766.99x = 478,613.96
  5. Step 5: Solve for x
    x = 478,613.96/766.99
  6. Step 6: Final answer
    x = 624.02

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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.