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Finding the Fourth Proportional to 748.10, 1,113.75 and 744.50

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Solution

The fourth proportional to 748.10, 1,113.75 and 744.50 is: 1,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.10 : 1,113.75 = 744.50 : x
  2. Step 2: Convert to fraction form
    748.10/1,113.75 = 744.50/x
  3. Step 3: Cross multiply
    748.10x = 1,113.75 × 744.50
  4. Step 4: Simplify right side
    748.10x = 829,186.88
  5. Step 5: Solve for x
    x = 829,186.88/748.10
  6. Step 6: Final answer
    x = 1,108.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.