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Finding the Fourth Proportional to 944.96, 1,417.64 and 457.74

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Solution

The fourth proportional to 944.96, 1,417.64 and 457.74 is: 686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.96 : 1,417.64 = 457.74 : x
  2. Step 2: Convert to fraction form
    944.96/1,417.64 = 457.74/x
  3. Step 3: Cross multiply
    944.96x = 1,417.64 × 457.74
  4. Step 4: Simplify right side
    944.96x = 648,908.24
  5. Step 5: Solve for x
    x = 648,908.24/944.96
  6. Step 6: Final answer
    x = 686.71

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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.