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Finding the Fourth Proportional to 752.19, 1,038.74 and 490.83

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Solution

The fourth proportional to 752.19, 1,038.74 and 490.83 is: 677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.19 : 1,038.74 = 490.83 : x
  2. Step 2: Convert to fraction form
    752.19/1,038.74 = 490.83/x
  3. Step 3: Cross multiply
    752.19x = 1,038.74 × 490.83
  4. Step 4: Simplify right side
    752.19x = 509,842.30
  5. Step 5: Solve for x
    x = 509,842.30/752.19
  6. Step 6: Final answer
    x = 677.81

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Double scale
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1.5x scale

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.