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Finding the Fourth Proportional to 748.88, 1,120.68 and 647.44

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Solution

The fourth proportional to 748.88, 1,120.68 and 647.44 is: 968.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.88 : 1,120.68 = 647.44 : x
  2. Step 2: Convert to fraction form
    748.88/1,120.68 = 647.44/x
  3. Step 3: Cross multiply
    748.88x = 1,120.68 × 647.44
  4. Step 4: Simplify right side
    748.88x = 725,573.06
  5. Step 5: Solve for x
    x = 725,573.06/748.88
  6. Step 6: Final answer
    x = 968.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.