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Finding the Fourth Proportional to 654.81, 903.87 and 458.90

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Solution

The fourth proportional to 654.81, 903.87 and 458.90 is: 633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.81 : 903.87 = 458.90 : x
  2. Step 2: Convert to fraction form
    654.81/903.87 = 458.90/x
  3. Step 3: Cross multiply
    654.81x = 903.87 × 458.90
  4. Step 4: Simplify right side
    654.81x = 414,785.94
  5. Step 5: Solve for x
    x = 414,785.94/654.81
  6. Step 6: Final answer
    x = 633.44

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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.