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Finding the Fourth Proportional to 945.39, 1,418.91 and 458.85

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Solution

The fourth proportional to 945.39, 1,418.91 and 458.85 is: 688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.39 : 1,418.91 = 458.85 : x
  2. Step 2: Convert to fraction form
    945.39/1,418.91 = 458.85/x
  3. Step 3: Cross multiply
    945.39x = 1,418.91 × 458.85
  4. Step 4: Simplify right side
    945.39x = 651,066.85
  5. Step 5: Solve for x
    x = 651,066.85/945.39
  6. Step 6: Final answer
    x = 688.68

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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.