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Finding the Fourth Proportional to 1,083.43, 1,624.96 and 313.75

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Solution

The fourth proportional to 1,083.43, 1,624.96 and 313.75 is: 470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.43 : 1,624.96 = 313.75 : x
  2. Step 2: Convert to fraction form
    1,083.43/1,624.96 = 313.75/x
  3. Step 3: Cross multiply
    1,083.43x = 1,624.96 × 313.75
  4. Step 4: Simplify right side
    1,083.43x = 509,831.20
  5. Step 5: Solve for x
    x = 509,831.20/1,083.43
  6. Step 6: Final answer
    x = 470.57

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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.