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Finding the Fourth Proportional to 752.21, 1,037.86 and 457.46

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Solution

The fourth proportional to 752.21, 1,037.86 and 457.46 is: 631.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.21 : 1,037.86 = 457.46 : x
  2. Step 2: Convert to fraction form
    752.21/1,037.86 = 457.46/x
  3. Step 3: Cross multiply
    752.21x = 1,037.86 × 457.46
  4. Step 4: Simplify right side
    752.21x = 474,779.44
  5. Step 5: Solve for x
    x = 474,779.44/752.21
  6. Step 6: Final answer
    x = 631.18

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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.