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Finding the Fourth Proportional to 1,197.99, 1,653.39 and 902.75

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Solution

The fourth proportional to 1,197.99, 1,653.39 and 902.75 is: 1,245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.99 : 1,653.39 = 902.75 : x
  2. Step 2: Convert to fraction form
    1,197.99/1,653.39 = 902.75/x
  3. Step 3: Cross multiply
    1,197.99x = 1,653.39 × 902.75
  4. Step 4: Simplify right side
    1,197.99x = 1,492,587.02
  5. Step 5: Solve for x
    x = 1,492,587.02/1,197.99
  6. Step 6: Final answer
    x = 1,245.91

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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.