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Finding the Fourth Proportional to 1,221.93, 1,686.31 and 691.02

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Solution

The fourth proportional to 1,221.93, 1,686.31 and 691.02 is: 953.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.93 : 1,686.31 = 691.02 : x
  2. Step 2: Convert to fraction form
    1,221.93/1,686.31 = 691.02/x
  3. Step 3: Cross multiply
    1,221.93x = 1,686.31 × 691.02
  4. Step 4: Simplify right side
    1,221.93x = 1,165,272.21
  5. Step 5: Solve for x
    x = 1,165,272.21/1,221.93
  6. Step 6: Final answer
    x = 953.63

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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.