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Finding the Fourth Proportional to 766.95, 1,058.60 and 452.25

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Solution

The fourth proportional to 766.95, 1,058.60 and 452.25 is: 624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.95 : 1,058.60 = 452.25 : x
  2. Step 2: Convert to fraction form
    766.95/1,058.60 = 452.25/x
  3. Step 3: Cross multiply
    766.95x = 1,058.60 × 452.25
  4. Step 4: Simplify right side
    766.95x = 478,749.59
  5. Step 5: Solve for x
    x = 478,749.59/766.95
  6. Step 6: Final answer
    x = 624.23

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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.