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Finding the Fourth Proportional to 752.10, 1,035.48 and 663.49

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Solution

The fourth proportional to 752.10, 1,035.48 and 663.49 is: 913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.10 : 1,035.48 = 663.49 : x
  2. Step 2: Convert to fraction form
    752.10/1,035.48 = 663.49/x
  3. Step 3: Cross multiply
    752.10x = 1,035.48 × 663.49
  4. Step 4: Simplify right side
    752.10x = 687,030.63
  5. Step 5: Solve for x
    x = 687,030.63/752.10
  6. Step 6: Final answer
    x = 913.48

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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.