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Finding the Fourth Proportional to 1,221.56, 1,685.67 and 690.53

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Solution

The fourth proportional to 1,221.56, 1,685.67 and 690.53 is: 952.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.56 : 1,685.67 = 690.53 : x
  2. Step 2: Convert to fraction form
    1,221.56/1,685.67 = 690.53/x
  3. Step 3: Cross multiply
    1,221.56x = 1,685.67 × 690.53
  4. Step 4: Simplify right side
    1,221.56x = 1,164,005.71
  5. Step 5: Solve for x
    x = 1,164,005.71/1,221.56
  6. Step 6: Final answer
    x = 952.88

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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.