Home / 1,004.14-1,505.66-310.62

Finding the Fourth Proportional to 1,004.14, 1,505.66 and 310.62

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Solution

The fourth proportional to 1,004.14, 1,505.66 and 310.62 is: 465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.14 : 1,505.66 = 310.62 : x
  2. Step 2: Convert to fraction form
    1,004.14/1,505.66 = 310.62/x
  3. Step 3: Cross multiply
    1,004.14x = 1,505.66 × 310.62
  4. Step 4: Simplify right side
    1,004.14x = 467,688.11
  5. Step 5: Solve for x
    x = 467,688.11/1,004.14
  6. Step 6: Final answer
    x = 465.76

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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.