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Finding the Fourth Proportional to 945.73, 1,416.53 and 457.75

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Solution

The fourth proportional to 945.73, 1,416.53 and 457.75 is: 685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.73 : 1,416.53 = 457.75 : x
  2. Step 2: Convert to fraction form
    945.73/1,416.53 = 457.75/x
  3. Step 3: Cross multiply
    945.73x = 1,416.53 × 457.75
  4. Step 4: Simplify right side
    945.73x = 648,416.61
  5. Step 5: Solve for x
    x = 648,416.61/945.73
  6. Step 6: Final answer
    x = 685.63

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Double scale
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Similar ratio
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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.