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Finding the Fourth Proportional to 945.73, 1,418.28 and 458.47

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Solution

The fourth proportional to 945.73, 1,418.28 and 458.47 is: 687.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.73 : 1,418.28 = 458.47 : x
  2. Step 2: Convert to fraction form
    945.73/1,418.28 = 458.47/x
  3. Step 3: Cross multiply
    945.73x = 1,418.28 × 458.47
  4. Step 4: Simplify right side
    945.73x = 650,241.46
  5. Step 5: Solve for x
    x = 650,241.46/945.73
  6. Step 6: Final answer
    x = 687.55

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Double scale
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1.5x scale

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.