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Finding the Fourth Proportional to 1,130.82, 1,695.89 and 668.48

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Solution

The fourth proportional to 1,130.82, 1,695.89 and 668.48 is: 1,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.82 : 1,695.89 = 668.48 : x
  2. Step 2: Convert to fraction form
    1,130.82/1,695.89 = 668.48/x
  3. Step 3: Cross multiply
    1,130.82x = 1,695.89 × 668.48
  4. Step 4: Simplify right side
    1,130.82x = 1,133,656.73
  5. Step 5: Solve for x
    x = 1,133,656.73/1,130.82
  6. Step 6: Final answer
    x = 1,002.51

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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.