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Finding the Fourth Proportional to 1,238.35, 1,857.59 and 313.91

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Solution

The fourth proportional to 1,238.35, 1,857.59 and 313.91 is: 470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.35 : 1,857.59 = 313.91 : x
  2. Step 2: Convert to fraction form
    1,238.35/1,857.59 = 313.91/x
  3. Step 3: Cross multiply
    1,238.35x = 1,857.59 × 313.91
  4. Step 4: Simplify right side
    1,238.35x = 583,119.15
  5. Step 5: Solve for x
    x = 583,119.15/1,238.35
  6. Step 6: Final answer
    x = 470.88

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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.