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Finding the Fourth Proportional to 748.15, 1,032.82 and 468.54

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Solution

The fourth proportional to 748.15, 1,032.82 and 468.54 is: 646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.15 : 1,032.82 = 468.54 : x
  2. Step 2: Convert to fraction form
    748.15/1,032.82 = 468.54/x
  3. Step 3: Cross multiply
    748.15x = 1,032.82 × 468.54
  4. Step 4: Simplify right side
    748.15x = 483,916.31
  5. Step 5: Solve for x
    x = 483,916.31/748.15
  6. Step 6: Final answer
    x = 646.82

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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.