Home / 1,215.38-1,824.70-566.58

Finding the Fourth Proportional to 1,215.38, 1,824.70 and 566.58

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Solution

The fourth proportional to 1,215.38, 1,824.70 and 566.58 is: 850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.38 : 1,824.70 = 566.58 : x
  2. Step 2: Convert to fraction form
    1,215.38/1,824.70 = 566.58/x
  3. Step 3: Cross multiply
    1,215.38x = 1,824.70 × 566.58
  4. Step 4: Simplify right side
    1,215.38x = 1,033,838.53
  5. Step 5: Solve for x
    x = 1,033,838.53/1,215.38
  6. Step 6: Final answer
    x = 850.63

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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.