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Finding the Fourth Proportional to 943.96, 1,416.34 and 457.42

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Solution

The fourth proportional to 943.96, 1,416.34 and 457.42 is: 686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.96 : 1,416.34 = 457.42 : x
  2. Step 2: Convert to fraction form
    943.96/1,416.34 = 457.42/x
  3. Step 3: Cross multiply
    943.96x = 1,416.34 × 457.42
  4. Step 4: Simplify right side
    943.96x = 647,862.24
  5. Step 5: Solve for x
    x = 647,862.24/943.96
  6. Step 6: Final answer
    x = 686.32

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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.