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Finding the Fourth Proportional to 944.55, 1,415.43 and 456.57

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Solution

The fourth proportional to 944.55, 1,415.43 and 456.57 is: 684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.55 : 1,415.43 = 456.57 : x
  2. Step 2: Convert to fraction form
    944.55/1,415.43 = 456.57/x
  3. Step 3: Cross multiply
    944.55x = 1,415.43 × 456.57
  4. Step 4: Simplify right side
    944.55x = 646,242.88
  5. Step 5: Solve for x
    x = 646,242.88/944.55
  6. Step 6: Final answer
    x = 684.18

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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.