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Finding the Fourth Proportional to 752.03, 1,037.81 and 420.47

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Solution

The fourth proportional to 752.03, 1,037.81 and 420.47 is: 580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.03 : 1,037.81 = 420.47 : x
  2. Step 2: Convert to fraction form
    752.03/1,037.81 = 420.47/x
  3. Step 3: Cross multiply
    752.03x = 1,037.81 × 420.47
  4. Step 4: Simplify right side
    752.03x = 436,365.87
  5. Step 5: Solve for x
    x = 436,365.87/752.03
  6. Step 6: Final answer
    x = 580.25

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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.