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Finding the Fourth Proportional to 1,100.76, 1,658.82 and 940.56

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Solution

The fourth proportional to 1,100.76, 1,658.82 and 940.56 is: 1,417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.76 : 1,658.82 = 940.56 : x
  2. Step 2: Convert to fraction form
    1,100.76/1,658.82 = 940.56/x
  3. Step 3: Cross multiply
    1,100.76x = 1,658.82 × 940.56
  4. Step 4: Simplify right side
    1,100.76x = 1,560,219.74
  5. Step 5: Solve for x
    x = 1,560,219.74/1,100.76
  6. Step 6: Final answer
    x = 1,417.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.