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Finding the Fourth Proportional to 1,141.66, 1,575.49 and 617.69

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Solution

The fourth proportional to 1,141.66, 1,575.49 and 617.69 is: 852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.66 : 1,575.49 = 617.69 : x
  2. Step 2: Convert to fraction form
    1,141.66/1,575.49 = 617.69/x
  3. Step 3: Cross multiply
    1,141.66x = 1,575.49 × 617.69
  4. Step 4: Simplify right side
    1,141.66x = 973,158.94
  5. Step 5: Solve for x
    x = 973,158.94/1,141.66
  6. Step 6: Final answer
    x = 852.41

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.