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Finding the Fourth Proportional to 1,116.56, 1,675.62 and 458.96

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Solution

The fourth proportional to 1,116.56, 1,675.62 and 458.96 is: 688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.56 : 1,675.62 = 458.96 : x
  2. Step 2: Convert to fraction form
    1,116.56/1,675.62 = 458.96/x
  3. Step 3: Cross multiply
    1,116.56x = 1,675.62 × 458.96
  4. Step 4: Simplify right side
    1,116.56x = 769,042.56
  5. Step 5: Solve for x
    x = 769,042.56/1,116.56
  6. Step 6: Final answer
    x = 688.76

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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.