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Finding the Fourth Proportional to 1,197.45, 1,654.74 and 902.21

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Solution

The fourth proportional to 1,197.45, 1,654.74 and 902.21 is: 1,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.45 : 1,654.74 = 902.21 : x
  2. Step 2: Convert to fraction form
    1,197.45/1,654.74 = 902.21/x
  3. Step 3: Cross multiply
    1,197.45x = 1,654.74 × 902.21
  4. Step 4: Simplify right side
    1,197.45x = 1,492,914.70
  5. Step 5: Solve for x
    x = 1,492,914.70/1,197.45
  6. Step 6: Final answer
    x = 1,246.74

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1.5x scale

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.