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Finding the Fourth Proportional to 654.40, 903.05 and 359.66

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Solution

The fourth proportional to 654.40, 903.05 and 359.66 is: 496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.40 : 903.05 = 359.66 : x
  2. Step 2: Convert to fraction form
    654.40/903.05 = 359.66/x
  3. Step 3: Cross multiply
    654.40x = 903.05 × 359.66
  4. Step 4: Simplify right side
    654.40x = 324,789.16
  5. Step 5: Solve for x
    x = 324,789.16/654.40
  6. Step 6: Final answer
    x = 496.32

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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.