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Finding the Fourth Proportional to 1,222.23, 1,686.38 and 691.12

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Solution

The fourth proportional to 1,222.23, 1,686.38 and 691.12 is: 953.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.23 : 1,686.38 = 691.12 : x
  2. Step 2: Convert to fraction form
    1,222.23/1,686.38 = 691.12/x
  3. Step 3: Cross multiply
    1,222.23x = 1,686.38 × 691.12
  4. Step 4: Simplify right side
    1,222.23x = 1,165,490.95
  5. Step 5: Solve for x
    x = 1,165,490.95/1,222.23
  6. Step 6: Final answer
    x = 953.58

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1.5x scale

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.