Home / 1,086.64-1,630.23-317.14

Finding the Fourth Proportional to 1,086.64, 1,630.23 and 317.14

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Solution

The fourth proportional to 1,086.64, 1,630.23 and 317.14 is: 475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.64 : 1,630.23 = 317.14 : x
  2. Step 2: Convert to fraction form
    1,086.64/1,630.23 = 317.14/x
  3. Step 3: Cross multiply
    1,086.64x = 1,630.23 × 317.14
  4. Step 4: Simplify right side
    1,086.64x = 517,011.14
  5. Step 5: Solve for x
    x = 517,011.14/1,086.64
  6. Step 6: Final answer
    x = 475.79

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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.