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Finding the Fourth Proportional to 672.92, 1,010.90 and 399.19

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Solution

The fourth proportional to 672.92, 1,010.90 and 399.19 is: 599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.92 : 1,010.90 = 399.19 : x
  2. Step 2: Convert to fraction form
    672.92/1,010.90 = 399.19/x
  3. Step 3: Cross multiply
    672.92x = 1,010.90 × 399.19
  4. Step 4: Simplify right side
    672.92x = 403,541.94
  5. Step 5: Solve for x
    x = 403,541.94/672.92
  6. Step 6: Final answer
    x = 599.69

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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.