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Finding the Fourth Proportional to 654.40, 903.07 and 355.64

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Solution

The fourth proportional to 654.40, 903.07 and 355.64 is: 490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.40 : 903.07 = 355.64 : x
  2. Step 2: Convert to fraction form
    654.40/903.07 = 355.64/x
  3. Step 3: Cross multiply
    654.40x = 903.07 × 355.64
  4. Step 4: Simplify right side
    654.40x = 321,167.81
  5. Step 5: Solve for x
    x = 321,167.81/654.40
  6. Step 6: Final answer
    x = 490.78

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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.