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Finding the Fourth Proportional to 1,198.80, 1,655.10 and 977.40

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Solution

The fourth proportional to 1,198.80, 1,655.10 and 977.40 is: 1,349.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.80 : 1,655.10 = 977.40 : x
  2. Step 2: Convert to fraction form
    1,198.80/1,655.10 = 977.40/x
  3. Step 3: Cross multiply
    1,198.80x = 1,655.10 × 977.40
  4. Step 4: Simplify right side
    1,198.80x = 1,617,694.74
  5. Step 5: Solve for x
    x = 1,617,694.74/1,198.80
  6. Step 6: Final answer
    x = 1,349.43

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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.