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Finding the Fourth Proportional to 944.70, 1,416.81 and 457.74

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Solution

The fourth proportional to 944.70, 1,416.81 and 457.74 is: 686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.70 : 1,416.81 = 457.74 : x
  2. Step 2: Convert to fraction form
    944.70/1,416.81 = 457.74/x
  3. Step 3: Cross multiply
    944.70x = 1,416.81 × 457.74
  4. Step 4: Simplify right side
    944.70x = 648,530.61
  5. Step 5: Solve for x
    x = 648,530.61/944.70
  6. Step 6: Final answer
    x = 686.49

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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.