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Finding the Fourth Proportional to 654.85, 903.84 and 445.37

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Solution

The fourth proportional to 654.85, 903.84 and 445.37 is: 614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.85 : 903.84 = 445.37 : x
  2. Step 2: Convert to fraction form
    654.85/903.84 = 445.37/x
  3. Step 3: Cross multiply
    654.85x = 903.84 × 445.37
  4. Step 4: Simplify right side
    654.85x = 402,543.22
  5. Step 5: Solve for x
    x = 402,543.22/654.85
  6. Step 6: Final answer
    x = 614.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.