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Finding the Fourth Proportional to 945.60, 1,418.73 and 458.52

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Solution

The fourth proportional to 945.60, 1,418.73 and 458.52 is: 687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.60 : 1,418.73 = 458.52 : x
  2. Step 2: Convert to fraction form
    945.60/1,418.73 = 458.52/x
  3. Step 3: Cross multiply
    945.60x = 1,418.73 × 458.52
  4. Step 4: Simplify right side
    945.60x = 650,516.08
  5. Step 5: Solve for x
    x = 650,516.08/945.60
  6. Step 6: Final answer
    x = 687.94

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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.