Home / 1,083.18-1,624.56-313.50

Finding the Fourth Proportional to 1,083.18, 1,624.56 and 313.50

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Solution

The fourth proportional to 1,083.18, 1,624.56 and 313.50 is: 470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.18 : 1,624.56 = 313.50 : x
  2. Step 2: Convert to fraction form
    1,083.18/1,624.56 = 313.50/x
  3. Step 3: Cross multiply
    1,083.18x = 1,624.56 × 313.50
  4. Step 4: Simplify right side
    1,083.18x = 509,299.56
  5. Step 5: Solve for x
    x = 509,299.56/1,083.18
  6. Step 6: Final answer
    x = 470.19

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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.