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Finding the Fourth Proportional to 945.15, 1,418.07 and 458.25

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Solution

The fourth proportional to 945.15, 1,418.07 and 458.25 is: 687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.15 : 1,418.07 = 458.25 : x
  2. Step 2: Convert to fraction form
    945.15/1,418.07 = 458.25/x
  3. Step 3: Cross multiply
    945.15x = 1,418.07 × 458.25
  4. Step 4: Simplify right side
    945.15x = 649,830.58
  5. Step 5: Solve for x
    x = 649,830.58/945.15
  6. Step 6: Final answer
    x = 687.54

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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.