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Finding the Fourth Proportional to 672.49, 1,006.64 and 518.02

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Solution

The fourth proportional to 672.49, 1,006.64 and 518.02 is: 775.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.49 : 1,006.64 = 518.02 : x
  2. Step 2: Convert to fraction form
    672.49/1,006.64 = 518.02/x
  3. Step 3: Cross multiply
    672.49x = 1,006.64 × 518.02
  4. Step 4: Simplify right side
    672.49x = 521,459.65
  5. Step 5: Solve for x
    x = 521,459.65/672.49
  6. Step 6: Final answer
    x = 775.42

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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.