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Finding the Fourth Proportional to 491.24, 681.30 and 450.24

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Solution

The fourth proportional to 491.24, 681.30 and 450.24 is: 624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.24 : 681.30 = 450.24 : x
  2. Step 2: Convert to fraction form
    491.24/681.30 = 450.24/x
  3. Step 3: Cross multiply
    491.24x = 681.30 × 450.24
  4. Step 4: Simplify right side
    491.24x = 306,748.51
  5. Step 5: Solve for x
    x = 306,748.51/491.24
  6. Step 6: Final answer
    x = 624.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.