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Finding the Fourth Proportional to 752.00, 1,037.07 and 471.87

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Solution

The fourth proportional to 752.00, 1,037.07 and 471.87 is: 650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.00 : 1,037.07 = 471.87 : x
  2. Step 2: Convert to fraction form
    752.00/1,037.07 = 471.87/x
  3. Step 3: Cross multiply
    752.00x = 1,037.07 × 471.87
  4. Step 4: Simplify right side
    752.00x = 489,362.22
  5. Step 5: Solve for x
    x = 489,362.22/752.00
  6. Step 6: Final answer
    x = 650.75

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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.