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Finding the Fourth Proportional to 944.14, 1,416.42 and 457.42

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Solution

The fourth proportional to 944.14, 1,416.42 and 457.42 is: 686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.14 : 1,416.42 = 457.42 : x
  2. Step 2: Convert to fraction form
    944.14/1,416.42 = 457.42/x
  3. Step 3: Cross multiply
    944.14x = 1,416.42 × 457.42
  4. Step 4: Simplify right side
    944.14x = 647,898.84
  5. Step 5: Solve for x
    x = 647,898.84/944.14
  6. Step 6: Final answer
    x = 686.23

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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.