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Finding the Fourth Proportional to 752.50, 1,038.45 and 490.96

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Solution

The fourth proportional to 752.50, 1,038.45 and 490.96 is: 677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.50 : 1,038.45 = 490.96 : x
  2. Step 2: Convert to fraction form
    752.50/1,038.45 = 490.96/x
  3. Step 3: Cross multiply
    752.50x = 1,038.45 × 490.96
  4. Step 4: Simplify right side
    752.50x = 509,837.41
  5. Step 5: Solve for x
    x = 509,837.41/752.50
  6. Step 6: Final answer
    x = 677.52

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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.