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Finding the Fourth Proportional to 988.22, 1,362.84 and 909.71

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Solution

The fourth proportional to 988.22, 1,362.84 and 909.71 is: 1,254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.22 : 1,362.84 = 909.71 : x
  2. Step 2: Convert to fraction form
    988.22/1,362.84 = 909.71/x
  3. Step 3: Cross multiply
    988.22x = 1,362.84 × 909.71
  4. Step 4: Simplify right side
    988.22x = 1,239,784.06
  5. Step 5: Solve for x
    x = 1,239,784.06/988.22
  6. Step 6: Final answer
    x = 1,254.56

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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.