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Finding the Fourth Proportional to 1,198.95, 1,656.81 and 903.71

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Solution

The fourth proportional to 1,198.95, 1,656.81 and 903.71 is: 1,248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.95 : 1,656.81 = 903.71 : x
  2. Step 2: Convert to fraction form
    1,198.95/1,656.81 = 903.71/x
  3. Step 3: Cross multiply
    1,198.95x = 1,656.81 × 903.71
  4. Step 4: Simplify right side
    1,198.95x = 1,497,267.48
  5. Step 5: Solve for x
    x = 1,497,267.48/1,198.95
  6. Step 6: Final answer
    x = 1,248.82

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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.