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Finding the Fourth Proportional to 1,217.62, 1,682.94 and 955.18

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Solution

The fourth proportional to 1,217.62, 1,682.94 and 955.18 is: 1,320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.62 : 1,682.94 = 955.18 : x
  2. Step 2: Convert to fraction form
    1,217.62/1,682.94 = 955.18/x
  3. Step 3: Cross multiply
    1,217.62x = 1,682.94 × 955.18
  4. Step 4: Simplify right side
    1,217.62x = 1,607,510.63
  5. Step 5: Solve for x
    x = 1,607,510.63/1,217.62
  6. Step 6: Final answer
    x = 1,320.21

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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.