Home / 1,054.25-1,581.13-313.71

Finding the Fourth Proportional to 1,054.25, 1,581.13 and 313.71

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Solution

The fourth proportional to 1,054.25, 1,581.13 and 313.71 is: 470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.25 : 1,581.13 = 313.71 : x
  2. Step 2: Convert to fraction form
    1,054.25/1,581.13 = 313.71/x
  3. Step 3: Cross multiply
    1,054.25x = 1,581.13 × 313.71
  4. Step 4: Simplify right side
    1,054.25x = 496,008.39
  5. Step 5: Solve for x
    x = 496,008.39/1,054.25
  6. Step 6: Final answer
    x = 470.48

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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.