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Finding the Fourth Proportional to 752.19, 1,038.11 and 490.96

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Solution

The fourth proportional to 752.19, 1,038.11 and 490.96 is: 677.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.19 : 1,038.11 = 490.96 : x
  2. Step 2: Convert to fraction form
    752.19/1,038.11 = 490.96/x
  3. Step 3: Cross multiply
    752.19x = 1,038.11 × 490.96
  4. Step 4: Simplify right side
    752.19x = 509,671.71
  5. Step 5: Solve for x
    x = 509,671.71/752.19
  6. Step 6: Final answer
    x = 677.59

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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.