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Finding the Fourth Proportional to 748.53, 1,033.34 and 468.90

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Solution

The fourth proportional to 748.53, 1,033.34 and 468.90 is: 647.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.53 : 1,033.34 = 468.90 : x
  2. Step 2: Convert to fraction form
    748.53/1,033.34 = 468.90/x
  3. Step 3: Cross multiply
    748.53x = 1,033.34 × 468.90
  4. Step 4: Simplify right side
    748.53x = 484,530.78
  5. Step 5: Solve for x
    x = 484,530.78/748.53
  6. Step 6: Final answer
    x = 647.31

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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.