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Finding the Fourth Proportional to 672.18, 1,009.07 and 449.99

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Solution

The fourth proportional to 672.18, 1,009.07 and 449.99 is: 675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.18 : 1,009.07 = 449.99 : x
  2. Step 2: Convert to fraction form
    672.18/1,009.07 = 449.99/x
  3. Step 3: Cross multiply
    672.18x = 1,009.07 × 449.99
  4. Step 4: Simplify right side
    672.18x = 454,071.41
  5. Step 5: Solve for x
    x = 454,071.41/672.18
  6. Step 6: Final answer
    x = 675.52

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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.