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Finding the Fourth Proportional to 988.15, 1,480.81 and 726.09

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Solution

The fourth proportional to 988.15, 1,480.81 and 726.09 is: 1,088.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.15 : 1,480.81 = 726.09 : x
  2. Step 2: Convert to fraction form
    988.15/1,480.81 = 726.09/x
  3. Step 3: Cross multiply
    988.15x = 1,480.81 × 726.09
  4. Step 4: Simplify right side
    988.15x = 1,075,201.33
  5. Step 5: Solve for x
    x = 1,075,201.33/988.15
  6. Step 6: Final answer
    x = 1,088.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.