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Finding the Fourth Proportional to 654.53, 903.72 and 458.30

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Solution

The fourth proportional to 654.53, 903.72 and 458.30 is: 632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.53 : 903.72 = 458.30 : x
  2. Step 2: Convert to fraction form
    654.53/903.72 = 458.30/x
  3. Step 3: Cross multiply
    654.53x = 903.72 × 458.30
  4. Step 4: Simplify right side
    654.53x = 414,174.88
  5. Step 5: Solve for x
    x = 414,174.88/654.53
  6. Step 6: Final answer
    x = 632.78

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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.