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Finding the Fourth Proportional to 748.05, 1,031.72 and 649.63

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Solution

The fourth proportional to 748.05, 1,031.72 and 649.63 is: 895.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.05 : 1,031.72 = 649.63 : x
  2. Step 2: Convert to fraction form
    748.05/1,031.72 = 649.63/x
  3. Step 3: Cross multiply
    748.05x = 1,031.72 × 649.63
  4. Step 4: Simplify right side
    748.05x = 670,236.67
  5. Step 5: Solve for x
    x = 670,236.67/748.05
  6. Step 6: Final answer
    x = 895.98

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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.