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Finding the Fourth Proportional to 624.72, 935.36 and 450.88

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Solution

The fourth proportional to 624.72, 935.36 and 450.88 is: 675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.72 : 935.36 = 450.88 : x
  2. Step 2: Convert to fraction form
    624.72/935.36 = 450.88/x
  3. Step 3: Cross multiply
    624.72x = 935.36 × 450.88
  4. Step 4: Simplify right side
    624.72x = 421,735.12
  5. Step 5: Solve for x
    x = 421,735.12/624.72
  6. Step 6: Final answer
    x = 675.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.