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Finding the Fourth Proportional to 945.39, 1,418.49 and 458.49

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Solution

The fourth proportional to 945.39, 1,418.49 and 458.49 is: 687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.39 : 1,418.49 = 458.49 : x
  2. Step 2: Convert to fraction form
    945.39/1,418.49 = 458.49/x
  3. Step 3: Cross multiply
    945.39x = 1,418.49 × 458.49
  4. Step 4: Simplify right side
    945.39x = 650,363.48
  5. Step 5: Solve for x
    x = 650,363.48/945.39
  6. Step 6: Final answer
    x = 687.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.