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Finding the Fourth Proportional to 654.33, 903.30 and 458.21

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Solution

The fourth proportional to 654.33, 903.30 and 458.21 is: 632.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.33 : 903.30 = 458.21 : x
  2. Step 2: Convert to fraction form
    654.33/903.30 = 458.21/x
  3. Step 3: Cross multiply
    654.33x = 903.30 × 458.21
  4. Step 4: Simplify right side
    654.33x = 413,899.13
  5. Step 5: Solve for x
    x = 413,899.13/654.33
  6. Step 6: Final answer
    x = 632.56

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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.