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Finding the Fourth Proportional to 1,221.95, 1,686.29 and 662.41

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Solution

The fourth proportional to 1,221.95, 1,686.29 and 662.41 is: 914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.95 : 1,686.29 = 662.41 : x
  2. Step 2: Convert to fraction form
    1,221.95/1,686.29 = 662.41/x
  3. Step 3: Cross multiply
    1,221.95x = 1,686.29 × 662.41
  4. Step 4: Simplify right side
    1,221.95x = 1,117,007.83
  5. Step 5: Solve for x
    x = 1,117,007.83/1,221.95
  6. Step 6: Final answer
    x = 914.12

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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.