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Finding the Fourth Proportional to 729.51, 1,006.71 and 449.63

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Solution

The fourth proportional to 729.51, 1,006.71 and 449.63 is: 620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.51 : 1,006.71 = 449.63 : x
  2. Step 2: Convert to fraction form
    729.51/1,006.71 = 449.63/x
  3. Step 3: Cross multiply
    729.51x = 1,006.71 × 449.63
  4. Step 4: Simplify right side
    729.51x = 452,646.60
  5. Step 5: Solve for x
    x = 452,646.60/729.51
  6. Step 6: Final answer
    x = 620.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.