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Finding the Fourth Proportional to 1,038.12, 1,558.23 and 490.74

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Solution

The fourth proportional to 1,038.12, 1,558.23 and 490.74 is: 736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.12 : 1,558.23 = 490.74 : x
  2. Step 2: Convert to fraction form
    1,038.12/1,558.23 = 490.74/x
  3. Step 3: Cross multiply
    1,038.12x = 1,558.23 × 490.74
  4. Step 4: Simplify right side
    1,038.12x = 764,685.79
  5. Step 5: Solve for x
    x = 764,685.79/1,038.12
  6. Step 6: Final answer
    x = 736.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.