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Finding the Fourth Proportional to 752.45, 1,038.50 and 457.81

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Solution

The fourth proportional to 752.45, 1,038.50 and 457.81 is: 631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.45 : 1,038.50 = 457.81 : x
  2. Step 2: Convert to fraction form
    752.45/1,038.50 = 457.81/x
  3. Step 3: Cross multiply
    752.45x = 1,038.50 × 457.81
  4. Step 4: Simplify right side
    752.45x = 475,435.69
  5. Step 5: Solve for x
    x = 475,435.69/752.45
  6. Step 6: Final answer
    x = 631.85

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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.