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Finding the Fourth Proportional to 1,083.28, 1,624.84 and 313.80

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Solution

The fourth proportional to 1,083.28, 1,624.84 and 313.80 is: 470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.28 : 1,624.84 = 313.80 : x
  2. Step 2: Convert to fraction form
    1,083.28/1,624.84 = 313.80/x
  3. Step 3: Cross multiply
    1,083.28x = 1,624.84 × 313.80
  4. Step 4: Simplify right side
    1,083.28x = 509,874.79
  5. Step 5: Solve for x
    x = 509,874.79/1,083.28
  6. Step 6: Final answer
    x = 470.68

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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.