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Finding the Fourth Proportional to 944.41, 1,416.64 and 457.35

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Solution

The fourth proportional to 944.41, 1,416.64 and 457.35 is: 686.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.41 : 1,416.64 = 457.35 : x
  2. Step 2: Convert to fraction form
    944.41/1,416.64 = 457.35/x
  3. Step 3: Cross multiply
    944.41x = 1,416.64 × 457.35
  4. Step 4: Simplify right side
    944.41x = 647,900.30
  5. Step 5: Solve for x
    x = 647,900.30/944.41
  6. Step 6: Final answer
    x = 686.04

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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.