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Finding the Fourth Proportional to 729.03, 1,006.78 and 623.51

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Solution

The fourth proportional to 729.03, 1,006.78 and 623.51 is: 861.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.03 : 1,006.78 = 623.51 : x
  2. Step 2: Convert to fraction form
    729.03/1,006.78 = 623.51/x
  3. Step 3: Cross multiply
    729.03x = 1,006.78 × 623.51
  4. Step 4: Simplify right side
    729.03x = 627,734.28
  5. Step 5: Solve for x
    x = 627,734.28/729.03
  6. Step 6: Final answer
    x = 861.05

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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.