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Finding the Fourth Proportional to 1,113.21, 1,668.74 and 557.55

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Solution

The fourth proportional to 1,113.21, 1,668.74 and 557.55 is: 835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.21 : 1,668.74 = 557.55 : x
  2. Step 2: Convert to fraction form
    1,113.21/1,668.74 = 557.55/x
  3. Step 3: Cross multiply
    1,113.21x = 1,668.74 × 557.55
  4. Step 4: Simplify right side
    1,113.21x = 930,405.99
  5. Step 5: Solve for x
    x = 930,405.99/1,113.21
  6. Step 6: Final answer
    x = 835.79

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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.