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Finding the Fourth Proportional to 1,578.77, 2,177.79 and 988.28

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Solution

The fourth proportional to 1,578.77, 2,177.79 and 988.28 is: 1,363.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.77 : 2,177.79 = 988.28 : x
  2. Step 2: Convert to fraction form
    1,578.77/2,177.79 = 988.28/x
  3. Step 3: Cross multiply
    1,578.77x = 2,177.79 × 988.28
  4. Step 4: Simplify right side
    1,578.77x = 2,152,266.30
  5. Step 5: Solve for x
    x = 2,152,266.30/1,578.77
  6. Step 6: Final answer
    x = 1,363.26

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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.