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Finding the Fourth Proportional to 743,688, 1,028,991.60 and 648,393.12

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Solution

The fourth proportional to 743,688, 1,028,991.60 and 648,393.12 is: 897,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,688 : 1,028,991.60 = 648,393.12 : x
  2. Step 2: Convert to fraction form
    743,688/1,028,991.60 = 648,393.12/x
  3. Step 3: Cross multiply
    743,688x = 1,028,991.60 × 648,393.12
  4. Step 4: Simplify right side
    743,688x = 667,191,073,977.79
  5. Step 5: Solve for x
    x = 667,191,073,977.79/743,688
  6. Step 6: Final answer
    x = 897,138.42

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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.