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Finding the Fourth Proportional to 988.05, 1,362.75 and 638.13

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Solution

The fourth proportional to 988.05, 1,362.75 and 638.13 is: 880.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.05 : 1,362.75 = 638.13 : x
  2. Step 2: Convert to fraction form
    988.05/1,362.75 = 638.13/x
  3. Step 3: Cross multiply
    988.05x = 1,362.75 × 638.13
  4. Step 4: Simplify right side
    988.05x = 869,611.66
  5. Step 5: Solve for x
    x = 869,611.66/988.05
  6. Step 6: Final answer
    x = 880.13

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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.